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Finding the Fourth Proportional to 5,612.24, 7,744.36 and 3,254.13

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Solution

The fourth proportional to 5,612.24, 7,744.36 and 3,254.13 is: 4,490.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.24 : 7,744.36 = 3,254.13 : x
  2. Step 2: Convert to fraction form
    5,612.24/7,744.36 = 3,254.13/x
  3. Step 3: Cross multiply
    5,612.24x = 7,744.36 × 3,254.13
  4. Step 4: Simplify right side
    5,612.24x = 25,201,123.62
  5. Step 5: Solve for x
    x = 25,201,123.62/5,612.24
  6. Step 6: Final answer
    x = 4,490.39

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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.