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Finding the Fourth Proportional to 5,695.26, 8,545.94 and 4,148.16

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Solution

The fourth proportional to 5,695.26, 8,545.94 and 4,148.16 is: 6,224.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.26 : 8,545.94 = 4,148.16 : x
  2. Step 2: Convert to fraction form
    5,695.26/8,545.94 = 4,148.16/x
  3. Step 3: Cross multiply
    5,695.26x = 8,545.94 × 4,148.16
  4. Step 4: Simplify right side
    5,695.26x = 35,449,905.73
  5. Step 5: Solve for x
    x = 35,449,905.73/5,695.26
  6. Step 6: Final answer
    x = 6,224.46

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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.