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Finding the Fourth Proportional to 3,874.32, 5,811.12 and 1,101.24

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Solution

The fourth proportional to 3,874.32, 5,811.12 and 1,101.24 is: 1,651.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.32 : 5,811.12 = 1,101.24 : x
  2. Step 2: Convert to fraction form
    3,874.32/5,811.12 = 1,101.24/x
  3. Step 3: Cross multiply
    3,874.32x = 5,811.12 × 1,101.24
  4. Step 4: Simplify right side
    3,874.32x = 6,399,437.79
  5. Step 5: Solve for x
    x = 6,399,437.79/3,874.32
  6. Step 6: Final answer
    x = 1,651.76

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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.