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Finding the Fourth Proportional to 3,871.90, 5,799.57 and 3,602.17

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Solution

The fourth proportional to 3,871.90, 5,799.57 and 3,602.17 is: 5,395.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.90 : 5,799.57 = 3,602.17 : x
  2. Step 2: Convert to fraction form
    3,871.90/5,799.57 = 3,602.17/x
  3. Step 3: Cross multiply
    3,871.90x = 5,799.57 × 3,602.17
  4. Step 4: Simplify right side
    3,871.90x = 20,891,037.07
  5. Step 5: Solve for x
    x = 20,891,037.07/3,871.90
  6. Step 6: Final answer
    x = 5,395.55

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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.