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Finding the Fourth Proportional to 3,139.70, 4,709.55 and 1,757.30

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Solution

The fourth proportional to 3,139.70, 4,709.55 and 1,757.30 is: 2,635.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.70 : 4,709.55 = 1,757.30 : x
  2. Step 2: Convert to fraction form
    3,139.70/4,709.55 = 1,757.30/x
  3. Step 3: Cross multiply
    3,139.70x = 4,709.55 × 1,757.30
  4. Step 4: Simplify right side
    3,139.70x = 8,276,092.22
  5. Step 5: Solve for x
    x = 8,276,092.22/3,139.70
  6. Step 6: Final answer
    x = 2,635.95

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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.