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Finding the Fourth Proportional to 3,721.83, 5,135.02 and 2,306.55

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Solution

The fourth proportional to 3,721.83, 5,135.02 and 2,306.55 is: 3,182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,721.83 : 5,135.02 = 2,306.55 : x
  2. Step 2: Convert to fraction form
    3,721.83/5,135.02 = 2,306.55/x
  3. Step 3: Cross multiply
    3,721.83x = 5,135.02 × 2,306.55
  4. Step 4: Simplify right side
    3,721.83x = 11,844,180.38
  5. Step 5: Solve for x
    x = 11,844,180.38/3,721.83
  6. Step 6: Final answer
    x = 3,182.35

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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.