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Finding the Fourth Proportional to 5,932.54, 8,899.62 and 1,982.49

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Solution

The fourth proportional to 5,932.54, 8,899.62 and 1,982.49 is: 2,974.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.54 : 8,899.62 = 1,982.49 : x
  2. Step 2: Convert to fraction form
    5,932.54/8,899.62 = 1,982.49/x
  3. Step 3: Cross multiply
    5,932.54x = 8,899.62 × 1,982.49
  4. Step 4: Simplify right side
    5,932.54x = 17,643,407.65
  5. Step 5: Solve for x
    x = 17,643,407.65/5,932.54
  6. Step 6: Final answer
    x = 2,974.01

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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.