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Finding the Fourth Proportional to 5,159.57, 7,120.24 and 2,801.71

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Solution

The fourth proportional to 5,159.57, 7,120.24 and 2,801.71 is: 3,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.57 : 7,120.24 = 2,801.71 : x
  2. Step 2: Convert to fraction form
    5,159.57/7,120.24 = 2,801.71/x
  3. Step 3: Cross multiply
    5,159.57x = 7,120.24 × 2,801.71
  4. Step 4: Simplify right side
    5,159.57x = 19,948,847.61
  5. Step 5: Solve for x
    x = 19,948,847.61/5,159.57
  6. Step 6: Final answer
    x = 3,866.38

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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.