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Finding the Fourth Proportional to 4,046.76, 6,069.96 and 1,085.21

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Solution

The fourth proportional to 4,046.76, 6,069.96 and 1,085.21 is: 1,627.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.76 : 6,069.96 = 1,085.21 : x
  2. Step 2: Convert to fraction form
    4,046.76/6,069.96 = 1,085.21/x
  3. Step 3: Cross multiply
    4,046.76x = 6,069.96 × 1,085.21
  4. Step 4: Simplify right side
    4,046.76x = 6,587,150.94
  5. Step 5: Solve for x
    x = 6,587,150.94/4,046.76
  6. Step 6: Final answer
    x = 1,627.76

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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.