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Finding the Fourth Proportional to 3,729.84, 5,147.40 and 2,158.48

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Solution

The fourth proportional to 3,729.84, 5,147.40 and 2,158.48 is: 2,978.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.84 : 5,147.40 = 2,158.48 : x
  2. Step 2: Convert to fraction form
    3,729.84/5,147.40 = 2,158.48/x
  3. Step 3: Cross multiply
    3,729.84x = 5,147.40 × 2,158.48
  4. Step 4: Simplify right side
    3,729.84x = 11,110,559.95
  5. Step 5: Solve for x
    x = 11,110,559.95/3,729.84
  6. Step 6: Final answer
    x = 2,978.83

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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.