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Finding the Fourth Proportional to 3,612.72, 5,420.46 and 1,272.92

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Solution

The fourth proportional to 3,612.72, 5,420.46 and 1,272.92 is: 1,909.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.72 : 5,420.46 = 1,272.92 : x
  2. Step 2: Convert to fraction form
    3,612.72/5,420.46 = 1,272.92/x
  3. Step 3: Cross multiply
    3,612.72x = 5,420.46 × 1,272.92
  4. Step 4: Simplify right side
    3,612.72x = 6,899,811.94
  5. Step 5: Solve for x
    x = 6,899,811.94/3,612.72
  6. Step 6: Final answer
    x = 1,909.87

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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.