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Finding the Fourth Proportional to 3,719.76, 5,132.36 and 2,147.86

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Solution

The fourth proportional to 3,719.76, 5,132.36 and 2,147.86 is: 2,963.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,719.76 : 5,132.36 = 2,147.86 : x
  2. Step 2: Convert to fraction form
    3,719.76/5,132.36 = 2,147.86/x
  3. Step 3: Cross multiply
    3,719.76x = 5,132.36 × 2,147.86
  4. Step 4: Simplify right side
    3,719.76x = 11,023,590.75
  5. Step 5: Solve for x
    x = 11,023,590.75/3,719.76
  6. Step 6: Final answer
    x = 2,963.52

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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.