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Finding the Fourth Proportional to 4,098.52, 6,146.43 and 2,250.64

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Solution

The fourth proportional to 4,098.52, 6,146.43 and 2,250.64 is: 3,375.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.52 : 6,146.43 = 2,250.64 : x
  2. Step 2: Convert to fraction form
    4,098.52/6,146.43 = 2,250.64/x
  3. Step 3: Cross multiply
    4,098.52x = 6,146.43 × 2,250.64
  4. Step 4: Simplify right side
    4,098.52x = 13,833,401.22
  5. Step 5: Solve for x
    x = 13,833,401.22/4,098.52
  6. Step 6: Final answer
    x = 3,375.22

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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.