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Finding the Fourth Proportional to 3,720.38, 5,133 and 2,148.14

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Solution

The fourth proportional to 3,720.38, 5,133 and 2,148.14 is: 2,963.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.38 : 5,133 = 2,148.14 : x
  2. Step 2: Convert to fraction form
    3,720.38/5,133 = 2,148.14/x
  3. Step 3: Cross multiply
    3,720.38x = 5,133 × 2,148.14
  4. Step 4: Simplify right side
    3,720.38x = 11,026,402.62
  5. Step 5: Solve for x
    x = 11,026,402.62/3,720.38
  6. Step 6: Final answer
    x = 2,963.78

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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.