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Finding the Fourth Proportional to 3,729.40, 5,589.02 and 1,881.80

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Solution

The fourth proportional to 3,729.40, 5,589.02 and 1,881.80 is: 2,820.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.40 : 5,589.02 = 1,881.80 : x
  2. Step 2: Convert to fraction form
    3,729.40/5,589.02 = 1,881.80/x
  3. Step 3: Cross multiply
    3,729.40x = 5,589.02 × 1,881.80
  4. Step 4: Simplify right side
    3,729.40x = 10,517,417.84
  5. Step 5: Solve for x
    x = 10,517,417.84/3,729.40
  6. Step 6: Final answer
    x = 2,820.14

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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.