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Finding the Fourth Proportional to 5,643.73, 7,780.22 and 3,959.92

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Solution

The fourth proportional to 5,643.73, 7,780.22 and 3,959.92 is: 5,458.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.73 : 7,780.22 = 3,959.92 : x
  2. Step 2: Convert to fraction form
    5,643.73/7,780.22 = 3,959.92/x
  3. Step 3: Cross multiply
    5,643.73x = 7,780.22 × 3,959.92
  4. Step 4: Simplify right side
    5,643.73x = 30,809,048.78
  5. Step 5: Solve for x
    x = 30,809,048.78/5,643.73
  6. Step 6: Final answer
    x = 5,458.99

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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.