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Finding the Fourth Proportional to 5,195.33, 7,781.27 and 3,642.25

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Solution

The fourth proportional to 5,195.33, 7,781.27 and 3,642.25 is: 5,455.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.33 : 7,781.27 = 3,642.25 : x
  2. Step 2: Convert to fraction form
    5,195.33/7,781.27 = 3,642.25/x
  3. Step 3: Cross multiply
    5,195.33x = 7,781.27 × 3,642.25
  4. Step 4: Simplify right side
    5,195.33x = 28,341,330.66
  5. Step 5: Solve for x
    x = 28,341,330.66/5,195.33
  6. Step 6: Final answer
    x = 5,455.16

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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.