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Finding the Fourth Proportional to 4,397.20, 6,069 and 3,137.92

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Solution

The fourth proportional to 4,397.20, 6,069 and 3,137.92 is: 4,330.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,397.20 : 6,069 = 3,137.92 : x
  2. Step 2: Convert to fraction form
    4,397.20/6,069 = 3,137.92/x
  3. Step 3: Cross multiply
    4,397.20x = 6,069 × 3,137.92
  4. Step 4: Simplify right side
    4,397.20x = 19,044,036.48
  5. Step 5: Solve for x
    x = 19,044,036.48/4,397.20
  6. Step 6: Final answer
    x = 4,330.95

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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.