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Finding the Fourth Proportional to 3,872.19, 5,807.72 and 1,099.10

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Solution

The fourth proportional to 3,872.19, 5,807.72 and 1,099.10 is: 1,648.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.19 : 5,807.72 = 1,099.10 : x
  2. Step 2: Convert to fraction form
    3,872.19/5,807.72 = 1,099.10/x
  3. Step 3: Cross multiply
    3,872.19x = 5,807.72 × 1,099.10
  4. Step 4: Simplify right side
    3,872.19x = 6,383,230.52
  5. Step 5: Solve for x
    x = 6,383,230.52/3,872.19
  6. Step 6: Final answer
    x = 1,648.48

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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.