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Finding the Fourth Proportional to 5,185.52, 7,782.96 and 3,781.20

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Solution

The fourth proportional to 5,185.52, 7,782.96 and 3,781.20 is: 5,675.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.52 : 7,782.96 = 3,781.20 : x
  2. Step 2: Convert to fraction form
    5,185.52/7,782.96 = 3,781.20/x
  3. Step 3: Cross multiply
    5,185.52x = 7,782.96 × 3,781.20
  4. Step 4: Simplify right side
    5,185.52x = 29,428,928.35
  5. Step 5: Solve for x
    x = 29,428,928.35/5,185.52
  6. Step 6: Final answer
    x = 5,675.21

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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.