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Finding the Fourth Proportional to 4,006.85, 6,010.31 and 1,085.18

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Solution

The fourth proportional to 4,006.85, 6,010.31 and 1,085.18 is: 1,627.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006.85 : 6,010.31 = 1,085.18 : x
  2. Step 2: Convert to fraction form
    4,006.85/6,010.31 = 1,085.18/x
  3. Step 3: Cross multiply
    4,006.85x = 6,010.31 × 1,085.18
  4. Step 4: Simplify right side
    4,006.85x = 6,522,262.78
  5. Step 5: Solve for x
    x = 6,522,262.78/4,006.85
  6. Step 6: Final answer
    x = 1,627.78

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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.