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Finding the Fourth Proportional to 4,689.32, 6,471.24 and 2,593.46

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Solution

The fourth proportional to 4,689.32, 6,471.24 and 2,593.46 is: 3,578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.32 : 6,471.24 = 2,593.46 : x
  2. Step 2: Convert to fraction form
    4,689.32/6,471.24 = 2,593.46/x
  3. Step 3: Cross multiply
    4,689.32x = 6,471.24 × 2,593.46
  4. Step 4: Simplify right side
    4,689.32x = 16,782,902.09
  5. Step 5: Solve for x
    x = 16,782,902.09/4,689.32
  6. Step 6: Final answer
    x = 3,578.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.