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Finding the Fourth Proportional to 5,062.32, 7,593 and 2,429.28

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Solution

The fourth proportional to 5,062.32, 7,593 and 2,429.28 is: 3,643.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,062.32 : 7,593 = 2,429.28 : x
  2. Step 2: Convert to fraction form
    5,062.32/7,593 = 2,429.28/x
  3. Step 3: Cross multiply
    5,062.32x = 7,593 × 2,429.28
  4. Step 4: Simplify right side
    5,062.32x = 18,445,523.04
  5. Step 5: Solve for x
    x = 18,445,523.04/5,062.32
  6. Step 6: Final answer
    x = 3,643.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.