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Finding the Fourth Proportional to 4,689.12, 6,471.06 and 2,593.26

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Solution

The fourth proportional to 4,689.12, 6,471.06 and 2,593.26 is: 3,578.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.12 : 6,471.06 = 2,593.26 : x
  2. Step 2: Convert to fraction form
    4,689.12/6,471.06 = 2,593.26/x
  3. Step 3: Cross multiply
    4,689.12x = 6,471.06 × 2,593.26
  4. Step 4: Simplify right side
    4,689.12x = 16,781,141.06
  5. Step 5: Solve for x
    x = 16,781,141.06/4,689.12
  6. Step 6: Final answer
    x = 3,578.74

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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.