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Finding the Fourth Proportional to 5,672.65, 8,509.11 and 2,162.20

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Solution

The fourth proportional to 5,672.65, 8,509.11 and 2,162.20 is: 3,243.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.65 : 8,509.11 = 2,162.20 : x
  2. Step 2: Convert to fraction form
    5,672.65/8,509.11 = 2,162.20/x
  3. Step 3: Cross multiply
    5,672.65x = 8,509.11 × 2,162.20
  4. Step 4: Simplify right side
    5,672.65x = 18,398,397.64
  5. Step 5: Solve for x
    x = 18,398,397.64/5,672.65
  6. Step 6: Final answer
    x = 3,243.35

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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.