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Finding the Fourth Proportional to 5,225.75, 7,847.78 and 4,057.07

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Solution

The fourth proportional to 5,225.75, 7,847.78 and 4,057.07 is: 6,092.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.75 : 7,847.78 = 4,057.07 : x
  2. Step 2: Convert to fraction form
    5,225.75/7,847.78 = 4,057.07/x
  3. Step 3: Cross multiply
    5,225.75x = 7,847.78 × 4,057.07
  4. Step 4: Simplify right side
    5,225.75x = 31,838,963.71
  5. Step 5: Solve for x
    x = 31,838,963.71/5,225.75
  6. Step 6: Final answer
    x = 6,092.71

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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.