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Finding the Fourth Proportional to 5,472, 7,554.24 and 3,612.16

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Solution

The fourth proportional to 5,472, 7,554.24 and 3,612.16 is: 4,986.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472 : 7,554.24 = 3,612.16 : x
  2. Step 2: Convert to fraction form
    5,472/7,554.24 = 3,612.16/x
  3. Step 3: Cross multiply
    5,472x = 7,554.24 × 3,612.16
  4. Step 4: Simplify right side
    5,472x = 27,287,123.56
  5. Step 5: Solve for x
    x = 27,287,123.56/5,472
  6. Step 6: Final answer
    x = 4,986.68

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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.