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Finding the Fourth Proportional to 4,169.12, 5,753.40 and 2,280.71

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Solution

The fourth proportional to 4,169.12, 5,753.40 and 2,280.71 is: 3,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.12 : 5,753.40 = 2,280.71 : x
  2. Step 2: Convert to fraction form
    4,169.12/5,753.40 = 2,280.71/x
  3. Step 3: Cross multiply
    4,169.12x = 5,753.40 × 2,280.71
  4. Step 4: Simplify right side
    4,169.12x = 13,121,829.63
  5. Step 5: Solve for x
    x = 13,121,829.63/4,169.12
  6. Step 6: Final answer
    x = 3,147.39

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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.