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Finding the Fourth Proportional to 4,141.72, 6,211.17 and 1,508.60

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Solution

The fourth proportional to 4,141.72, 6,211.17 and 1,508.60 is: 2,262.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.72 : 6,211.17 = 1,508.60 : x
  2. Step 2: Convert to fraction form
    4,141.72/6,211.17 = 1,508.60/x
  3. Step 3: Cross multiply
    4,141.72x = 6,211.17 × 1,508.60
  4. Step 4: Simplify right side
    4,141.72x = 9,370,181.88
  5. Step 5: Solve for x
    x = 9,370,181.88/4,141.72
  6. Step 6: Final answer
    x = 2,262.39

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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.