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Finding the Fourth Proportional to 5,104.97, 7,660.41 and 1,987.13

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Solution

The fourth proportional to 5,104.97, 7,660.41 and 1,987.13 is: 2,981.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.97 : 7,660.41 = 1,987.13 : x
  2. Step 2: Convert to fraction form
    5,104.97/7,660.41 = 1,987.13/x
  3. Step 3: Cross multiply
    5,104.97x = 7,660.41 × 1,987.13
  4. Step 4: Simplify right side
    5,104.97x = 15,222,192.22
  5. Step 5: Solve for x
    x = 15,222,192.22/5,104.97
  6. Step 6: Final answer
    x = 2,981.84

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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.