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Finding the Fourth Proportional to 5,635.97, 7,779.49 and 3,957.80

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Solution

The fourth proportional to 5,635.97, 7,779.49 and 3,957.80 is: 5,463.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.97 : 7,779.49 = 3,957.80 : x
  2. Step 2: Convert to fraction form
    5,635.97/7,779.49 = 3,957.80/x
  3. Step 3: Cross multiply
    5,635.97x = 7,779.49 × 3,957.80
  4. Step 4: Simplify right side
    5,635.97x = 30,789,665.52
  5. Step 5: Solve for x
    x = 30,789,665.52/5,635.97
  6. Step 6: Final answer
    x = 5,463.06

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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.