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Finding the Fourth Proportional to 5,338.98, 7,352.52 and 5,224.50

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Solution

The fourth proportional to 5,338.98, 7,352.52 and 5,224.50 is: 7,194.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.98 : 7,352.52 = 5,224.50 : x
  2. Step 2: Convert to fraction form
    5,338.98/7,352.52 = 5,224.50/x
  3. Step 3: Cross multiply
    5,338.98x = 7,352.52 × 5,224.50
  4. Step 4: Simplify right side
    5,338.98x = 38,413,240.74
  5. Step 5: Solve for x
    x = 38,413,240.74/5,338.98
  6. Step 6: Final answer
    x = 7,194.87

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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.