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Finding the Fourth Proportional to 5,648.13, 7,791.80 and 3,522.29

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Solution

The fourth proportional to 5,648.13, 7,791.80 and 3,522.29 is: 4,859.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.13 : 7,791.80 = 3,522.29 : x
  2. Step 2: Convert to fraction form
    5,648.13/7,791.80 = 3,522.29/x
  3. Step 3: Cross multiply
    5,648.13x = 7,791.80 × 3,522.29
  4. Step 4: Simplify right side
    5,648.13x = 27,444,922.65
  5. Step 5: Solve for x
    x = 27,444,922.65/5,648.13
  6. Step 6: Final answer
    x = 4,859.12

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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.