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Finding the Fourth Proportional to 3,139.96, 4,706.75 and 1,385.92

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Solution

The fourth proportional to 3,139.96, 4,706.75 and 1,385.92 is: 2,077.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.96 : 4,706.75 = 1,385.92 : x
  2. Step 2: Convert to fraction form
    3,139.96/4,706.75 = 1,385.92/x
  3. Step 3: Cross multiply
    3,139.96x = 4,706.75 × 1,385.92
  4. Step 4: Simplify right side
    3,139.96x = 6,523,182.42
  5. Step 5: Solve for x
    x = 6,523,182.42/3,139.96
  6. Step 6: Final answer
    x = 2,077.47

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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.