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Finding the Fourth Proportional to 5,761, 7,948.14 and 3,772.65

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Solution

The fourth proportional to 5,761, 7,948.14 and 3,772.65 is: 5,204.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761 : 7,948.14 = 3,772.65 : x
  2. Step 2: Convert to fraction form
    5,761/7,948.14 = 3,772.65/x
  3. Step 3: Cross multiply
    5,761x = 7,948.14 × 3,772.65
  4. Step 4: Simplify right side
    5,761x = 29,985,550.37
  5. Step 5: Solve for x
    x = 29,985,550.37/5,761
  6. Step 6: Final answer
    x = 5,204.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.