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Finding the Fourth Proportional to 4,689.72, 6,471.96 and 2,594.04

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Solution

The fourth proportional to 4,689.72, 6,471.96 and 2,594.04 is: 3,579.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.72 : 6,471.96 = 2,594.04 : x
  2. Step 2: Convert to fraction form
    4,689.72/6,471.96 = 2,594.04/x
  3. Step 3: Cross multiply
    4,689.72x = 6,471.96 × 2,594.04
  4. Step 4: Simplify right side
    4,689.72x = 16,788,523.12
  5. Step 5: Solve for x
    x = 16,788,523.12/4,689.72
  6. Step 6: Final answer
    x = 3,579.86

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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.