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Finding the Fourth Proportional to 3,884.40, 5,357.42 and 2,748.08

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Solution

The fourth proportional to 3,884.40, 5,357.42 and 2,748.08 is: 3,790.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.40 : 5,357.42 = 2,748.08 : x
  2. Step 2: Convert to fraction form
    3,884.40/5,357.42 = 2,748.08/x
  3. Step 3: Cross multiply
    3,884.40x = 5,357.42 × 2,748.08
  4. Step 4: Simplify right side
    3,884.40x = 14,722,618.75
  5. Step 5: Solve for x
    x = 14,722,618.75/3,884.40
  6. Step 6: Final answer
    x = 3,790.19

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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.