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Finding the Fourth Proportional to 3,872.01, 5,806.86 and 1,098.91

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Solution

The fourth proportional to 3,872.01, 5,806.86 and 1,098.91 is: 1,648.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.01 : 5,806.86 = 1,098.91 : x
  2. Step 2: Convert to fraction form
    3,872.01/5,806.86 = 1,098.91/x
  3. Step 3: Cross multiply
    3,872.01x = 5,806.86 × 1,098.91
  4. Step 4: Simplify right side
    3,872.01x = 6,381,219.66
  5. Step 5: Solve for x
    x = 6,381,219.66/3,872.01
  6. Step 6: Final answer
    x = 1,648.04

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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.