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Finding the Fourth Proportional to 3,928.52, 5,421.12 and 2,159.78

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Solution

The fourth proportional to 3,928.52, 5,421.12 and 2,159.78 is: 2,980.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.52 : 5,421.12 = 2,159.78 : x
  2. Step 2: Convert to fraction form
    3,928.52/5,421.12 = 2,159.78/x
  3. Step 3: Cross multiply
    3,928.52x = 5,421.12 × 2,159.78
  4. Step 4: Simplify right side
    3,928.52x = 11,708,426.55
  5. Step 5: Solve for x
    x = 11,708,426.55/3,928.52
  6. Step 6: Final answer
    x = 2,980.37

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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.