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Finding the Fourth Proportional to 3,678.38, 5,071.19 and 2,497.40

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Solution

The fourth proportional to 3,678.38, 5,071.19 and 2,497.40 is: 3,443.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.38 : 5,071.19 = 2,497.40 : x
  2. Step 2: Convert to fraction form
    3,678.38/5,071.19 = 2,497.40/x
  3. Step 3: Cross multiply
    3,678.38x = 5,071.19 × 2,497.40
  4. Step 4: Simplify right side
    3,678.38x = 12,664,789.91
  5. Step 5: Solve for x
    x = 12,664,789.91/3,678.38
  6. Step 6: Final answer
    x = 3,443.03

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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.