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Finding the Fourth Proportional to 5,372.50, 7,414.19 and 3,484.87

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Solution

The fourth proportional to 5,372.50, 7,414.19 and 3,484.87 is: 4,809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,372.50 : 7,414.19 = 3,484.87 : x
  2. Step 2: Convert to fraction form
    5,372.50/7,414.19 = 3,484.87/x
  3. Step 3: Cross multiply
    5,372.50x = 7,414.19 × 3,484.87
  4. Step 4: Simplify right side
    5,372.50x = 25,837,488.31
  5. Step 5: Solve for x
    x = 25,837,488.31/5,372.50
  6. Step 6: Final answer
    x = 4,809.21

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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.