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Finding the Fourth Proportional to 5,132.70, 7,081.81 and 3,142.53

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Solution

The fourth proportional to 5,132.70, 7,081.81 and 3,142.53 is: 4,335.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.70 : 7,081.81 = 3,142.53 : x
  2. Step 2: Convert to fraction form
    5,132.70/7,081.81 = 3,142.53/x
  3. Step 3: Cross multiply
    5,132.70x = 7,081.81 × 3,142.53
  4. Step 4: Simplify right side
    5,132.70x = 22,254,800.38
  5. Step 5: Solve for x
    x = 22,254,800.38/5,132.70
  6. Step 6: Final answer
    x = 4,335.89

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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.