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Finding the Fourth Proportional to 4,689.60, 6,470.94 and 2,593.74

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Solution

The fourth proportional to 4,689.60, 6,470.94 and 2,593.74 is: 3,578.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.60 : 6,470.94 = 2,593.74 : x
  2. Step 2: Convert to fraction form
    4,689.60/6,470.94 = 2,593.74/x
  3. Step 3: Cross multiply
    4,689.60x = 6,470.94 × 2,593.74
  4. Step 4: Simplify right side
    4,689.60x = 16,783,935.92
  5. Step 5: Solve for x
    x = 16,783,935.92/4,689.60
  6. Step 6: Final answer
    x = 3,578.97

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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.