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Finding the Fourth Proportional to 4,099.89, 6,146.18 and 1,502.22

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Solution

The fourth proportional to 4,099.89, 6,146.18 and 1,502.22 is: 2,251.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.89 : 6,146.18 = 1,502.22 : x
  2. Step 2: Convert to fraction form
    4,099.89/6,146.18 = 1,502.22/x
  3. Step 3: Cross multiply
    4,099.89x = 6,146.18 × 1,502.22
  4. Step 4: Simplify right side
    4,099.89x = 9,232,876.28
  5. Step 5: Solve for x
    x = 9,232,876.28/4,099.89
  6. Step 6: Final answer
    x = 2,251.98

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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.