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Finding the Fourth Proportional to 3,439.60, 5,156.80 and 1,709.44

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Solution

The fourth proportional to 3,439.60, 5,156.80 and 1,709.44 is: 2,562.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.60 : 5,156.80 = 1,709.44 : x
  2. Step 2: Convert to fraction form
    3,439.60/5,156.80 = 1,709.44/x
  3. Step 3: Cross multiply
    3,439.60x = 5,156.80 × 1,709.44
  4. Step 4: Simplify right side
    3,439.60x = 8,815,240.19
  5. Step 5: Solve for x
    x = 8,815,240.19/3,439.60
  6. Step 6: Final answer
    x = 2,562.87

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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.