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Finding the Fourth Proportional to 3,139.74, 4,711.23 and 1,191.96

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Solution

The fourth proportional to 3,139.74, 4,711.23 and 1,191.96 is: 1,788.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.74 : 4,711.23 = 1,191.96 : x
  2. Step 2: Convert to fraction form
    3,139.74/4,711.23 = 1,191.96/x
  3. Step 3: Cross multiply
    3,139.74x = 4,711.23 × 1,191.96
  4. Step 4: Simplify right side
    3,139.74x = 5,615,597.71
  5. Step 5: Solve for x
    x = 5,615,597.71/3,139.74
  6. Step 6: Final answer
    x = 1,788.56

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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.