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Finding the Fourth Proportional to 3,324.96, 4,987.32 and 1,016.40

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Solution

The fourth proportional to 3,324.96, 4,987.32 and 1,016.40 is: 1,524.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,324.96 : 4,987.32 = 1,016.40 : x
  2. Step 2: Convert to fraction form
    3,324.96/4,987.32 = 1,016.40/x
  3. Step 3: Cross multiply
    3,324.96x = 4,987.32 × 1,016.40
  4. Step 4: Simplify right side
    3,324.96x = 5,069,112.05
  5. Step 5: Solve for x
    x = 5,069,112.05/3,324.96
  6. Step 6: Final answer
    x = 1,524.56

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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.