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Finding the Fourth Proportional to 3,720.60, 5,134.39 and 2,042

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Solution

The fourth proportional to 3,720.60, 5,134.39 and 2,042 is: 2,817.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.60 : 5,134.39 = 2,042 : x
  2. Step 2: Convert to fraction form
    3,720.60/5,134.39 = 2,042/x
  3. Step 3: Cross multiply
    3,720.60x = 5,134.39 × 2,042
  4. Step 4: Simplify right side
    3,720.60x = 10,484,424.38
  5. Step 5: Solve for x
    x = 10,484,424.38/3,720.60
  6. Step 6: Final answer
    x = 2,817.94

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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.