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Finding the Fourth Proportional to 3,139.75, 4,711.16 and 1,291.42

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Solution

The fourth proportional to 3,139.75, 4,711.16 and 1,291.42 is: 1,937.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.75 : 4,711.16 = 1,291.42 : x
  2. Step 2: Convert to fraction form
    3,139.75/4,711.16 = 1,291.42/x
  3. Step 3: Cross multiply
    3,139.75x = 4,711.16 × 1,291.42
  4. Step 4: Simplify right side
    3,139.75x = 6,084,096.41
  5. Step 5: Solve for x
    x = 6,084,096.41/3,139.75
  6. Step 6: Final answer
    x = 1,937.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.