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Finding the Fourth Proportional to 5,906.76, 8,152.08 and 3,816.96

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Solution

The fourth proportional to 5,906.76, 8,152.08 and 3,816.96 is: 5,267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.76 : 8,152.08 = 3,816.96 : x
  2. Step 2: Convert to fraction form
    5,906.76/8,152.08 = 3,816.96/x
  3. Step 3: Cross multiply
    5,906.76x = 8,152.08 × 3,816.96
  4. Step 4: Simplify right side
    5,906.76x = 31,116,163.28
  5. Step 5: Solve for x
    x = 31,116,163.28/5,906.76
  6. Step 6: Final answer
    x = 5,267.89

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Half 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.