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Finding the Fourth Proportional to 3,273.60, 4,909.28 and 1,541.12

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Solution

The fourth proportional to 3,273.60, 4,909.28 and 1,541.12 is: 2,311.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.60 : 4,909.28 = 1,541.12 : x
  2. Step 2: Convert to fraction form
    3,273.60/4,909.28 = 1,541.12/x
  3. Step 3: Cross multiply
    3,273.60x = 4,909.28 × 1,541.12
  4. Step 4: Simplify right side
    3,273.60x = 7,565,789.59
  5. Step 5: Solve for x
    x = 7,565,789.59/3,273.60
  6. Step 6: Final answer
    x = 2,311.15

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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.