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Finding the Fourth Proportional to 5,352.76, 7,385.00 and 3,227.50

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Solution

The fourth proportional to 5,352.76, 7,385.00 and 3,227.50 is: 4,452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352.76 : 7,385.00 = 3,227.50 : x
  2. Step 2: Convert to fraction form
    5,352.76/7,385.00 = 3,227.50/x
  3. Step 3: Cross multiply
    5,352.76x = 7,385.00 × 3,227.50
  4. Step 4: Simplify right side
    5,352.76x = 23,835,048.13
  5. Step 5: Solve for x
    x = 23,835,048.13/5,352.76
  6. Step 6: Final answer
    x = 4,452.85

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.