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Finding the Fourth Proportional to 3,927.71, 5,420.21 and 2,159.30

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Solution

The fourth proportional to 3,927.71, 5,420.21 and 2,159.30 is: 2,979.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.71 : 5,420.21 = 2,159.30 : x
  2. Step 2: Convert to fraction form
    3,927.71/5,420.21 = 2,159.30/x
  3. Step 3: Cross multiply
    3,927.71x = 5,420.21 × 2,159.30
  4. Step 4: Simplify right side
    3,927.71x = 11,703,862.21
  5. Step 5: Solve for x
    x = 11,703,862.21/3,927.71
  6. Step 6: Final answer
    x = 2,979.82

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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.