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Finding the Fourth Proportional to 3,766.47, 5,197.65 and 2,087.87

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Solution

The fourth proportional to 3,766.47, 5,197.65 and 2,087.87 is: 2,881.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.47 : 5,197.65 = 2,087.87 : x
  2. Step 2: Convert to fraction form
    3,766.47/5,197.65 = 2,087.87/x
  3. Step 3: Cross multiply
    3,766.47x = 5,197.65 × 2,087.87
  4. Step 4: Simplify right side
    3,766.47x = 10,851,995.43
  5. Step 5: Solve for x
    x = 10,851,995.43/3,766.47
  6. Step 6: Final answer
    x = 2,881.21

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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.