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Finding the Fourth Proportional to 3,928.26, 5,421 and 2,159.82

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Solution

The fourth proportional to 3,928.26, 5,421 and 2,159.82 is: 2,980.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.26 : 5,421 = 2,159.82 : x
  2. Step 2: Convert to fraction form
    3,928.26/5,421 = 2,159.82/x
  3. Step 3: Cross multiply
    3,928.26x = 5,421 × 2,159.82
  4. Step 4: Simplify right side
    3,928.26x = 11,708,384.22
  5. Step 5: Solve for x
    x = 11,708,384.22/3,928.26
  6. Step 6: Final answer
    x = 2,980.55

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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.