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Finding the Fourth Proportional to 6,097.38, 8,414.40 and 3,302.88

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Solution

The fourth proportional to 6,097.38, 8,414.40 and 3,302.88 is: 4,557.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.38 : 8,414.40 = 3,302.88 : x
  2. Step 2: Convert to fraction form
    6,097.38/8,414.40 = 3,302.88/x
  3. Step 3: Cross multiply
    6,097.38x = 8,414.40 × 3,302.88
  4. Step 4: Simplify right side
    6,097.38x = 27,791,753.47
  5. Step 5: Solve for x
    x = 27,791,753.47/6,097.38
  6. Step 6: Final answer
    x = 4,557.98

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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.