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Finding the Fourth Proportional to 4,689.27, 6,471.23 and 2,593.40

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Solution

The fourth proportional to 4,689.27, 6,471.23 and 2,593.40 is: 3,578.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.27 : 6,471.23 = 2,593.40 : x
  2. Step 2: Convert to fraction form
    4,689.27/6,471.23 = 2,593.40/x
  3. Step 3: Cross multiply
    4,689.27x = 6,471.23 × 2,593.40
  4. Step 4: Simplify right side
    4,689.27x = 16,782,442.56
  5. Step 5: Solve for x
    x = 16,782,442.56/4,689.27
  6. Step 6: Final answer
    x = 3,578.90

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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.