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Finding the Fourth Proportional to 3,672.67, 5,508.57 and 1,206.88

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Solution

The fourth proportional to 3,672.67, 5,508.57 and 1,206.88 is: 1,810.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.67 : 5,508.57 = 1,206.88 : x
  2. Step 2: Convert to fraction form
    3,672.67/5,508.57 = 1,206.88/x
  3. Step 3: Cross multiply
    3,672.67x = 5,508.57 × 1,206.88
  4. Step 4: Simplify right side
    3,672.67x = 6,648,182.96
  5. Step 5: Solve for x
    x = 6,648,182.96/3,672.67
  6. Step 6: Final answer
    x = 1,810.18

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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.