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Finding the Fourth Proportional to 5,187.80, 7,781.72 and 1,292.20

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Solution

The fourth proportional to 5,187.80, 7,781.72 and 1,292.20 is: 1,938.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.80 : 7,781.72 = 1,292.20 : x
  2. Step 2: Convert to fraction form
    5,187.80/7,781.72 = 1,292.20/x
  3. Step 3: Cross multiply
    5,187.80x = 7,781.72 × 1,292.20
  4. Step 4: Simplify right side
    5,187.80x = 10,055,538.58
  5. Step 5: Solve for x
    x = 10,055,538.58/5,187.80
  6. Step 6: Final answer
    x = 1,938.30

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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.