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Finding the Fourth Proportional to 5,101.59, 7,654.04 and 2,502.70

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Solution

The fourth proportional to 5,101.59, 7,654.04 and 2,502.70 is: 3,754.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.59 : 7,654.04 = 2,502.70 : x
  2. Step 2: Convert to fraction form
    5,101.59/7,654.04 = 2,502.70/x
  3. Step 3: Cross multiply
    5,101.59x = 7,654.04 × 2,502.70
  4. Step 4: Simplify right side
    5,101.59x = 19,155,777.31
  5. Step 5: Solve for x
    x = 19,155,777.31/5,101.59
  6. Step 6: Final answer
    x = 3,754.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.