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Finding the Fourth Proportional to 3,897.90, 5,375.01 and 2,569.91

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Solution

The fourth proportional to 3,897.90, 5,375.01 and 2,569.91 is: 3,543.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.90 : 5,375.01 = 2,569.91 : x
  2. Step 2: Convert to fraction form
    3,897.90/5,375.01 = 2,569.91/x
  3. Step 3: Cross multiply
    3,897.90x = 5,375.01 × 2,569.91
  4. Step 4: Simplify right side
    3,897.90x = 13,813,265.07
  5. Step 5: Solve for x
    x = 13,813,265.07/3,897.90
  6. Step 6: Final answer
    x = 3,543.77

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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.