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Finding the Fourth Proportional to 3,543.87, 4,890.92 and 1,972.11

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Solution

The fourth proportional to 3,543.87, 4,890.92 and 1,972.11 is: 2,721.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.87 : 4,890.92 = 1,972.11 : x
  2. Step 2: Convert to fraction form
    3,543.87/4,890.92 = 1,972.11/x
  3. Step 3: Cross multiply
    3,543.87x = 4,890.92 × 1,972.11
  4. Step 4: Simplify right side
    3,543.87x = 9,645,422.38
  5. Step 5: Solve for x
    x = 9,645,422.38/3,543.87
  6. Step 6: Final answer
    x = 2,721.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.