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Finding the Fourth Proportional to 3,719.42, 5,132.61 and 2,147.42

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Solution

The fourth proportional to 3,719.42, 5,132.61 and 2,147.42 is: 2,963.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,719.42 : 5,132.61 = 2,147.42 : x
  2. Step 2: Convert to fraction form
    3,719.42/5,132.61 = 2,147.42/x
  3. Step 3: Cross multiply
    3,719.42x = 5,132.61 × 2,147.42
  4. Step 4: Simplify right side
    3,719.42x = 11,021,869.37
  5. Step 5: Solve for x
    x = 11,021,869.37/3,719.42
  6. Step 6: Final answer
    x = 2,963.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.