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Finding the Fourth Proportional to 5,306.40, 7,959.92 and 1,843.20

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Solution

The fourth proportional to 5,306.40, 7,959.92 and 1,843.20 is: 2,764.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.40 : 7,959.92 = 1,843.20 : x
  2. Step 2: Convert to fraction form
    5,306.40/7,959.92 = 1,843.20/x
  3. Step 3: Cross multiply
    5,306.40x = 7,959.92 × 1,843.20
  4. Step 4: Simplify right side
    5,306.40x = 14,671,724.54
  5. Step 5: Solve for x
    x = 14,671,724.54/5,306.40
  6. Step 6: Final answer
    x = 2,764.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.