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Finding the Fourth Proportional to 3,397.57, 4,689.81 and 2,140.74

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Solution

The fourth proportional to 3,397.57, 4,689.81 and 2,140.74 is: 2,954.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.57 : 4,689.81 = 2,140.74 : x
  2. Step 2: Convert to fraction form
    3,397.57/4,689.81 = 2,140.74/x
  3. Step 3: Cross multiply
    3,397.57x = 4,689.81 × 2,140.74
  4. Step 4: Simplify right side
    3,397.57x = 10,039,663.86
  5. Step 5: Solve for x
    x = 10,039,663.86/3,397.57
  6. Step 6: Final answer
    x = 2,954.96

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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.