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Finding the Fourth Proportional to 5,695.65, 8,540.27 and 4,376.13

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Solution

The fourth proportional to 5,695.65, 8,540.27 and 4,376.13 is: 6,561.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.65 : 8,540.27 = 4,376.13 : x
  2. Step 2: Convert to fraction form
    5,695.65/8,540.27 = 4,376.13/x
  3. Step 3: Cross multiply
    5,695.65x = 8,540.27 × 4,376.13
  4. Step 4: Simplify right side
    5,695.65x = 37,373,294.26
  5. Step 5: Solve for x
    x = 37,373,294.26/5,695.65
  6. Step 6: Final answer
    x = 6,561.73

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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.