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Finding the Fourth Proportional to 3,323.88, 4,986.26 and 1,132.02

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Solution

The fourth proportional to 3,323.88, 4,986.26 and 1,132.02 is: 1,698.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.88 : 4,986.26 = 1,132.02 : x
  2. Step 2: Convert to fraction form
    3,323.88/4,986.26 = 1,132.02/x
  3. Step 3: Cross multiply
    3,323.88x = 4,986.26 × 1,132.02
  4. Step 4: Simplify right side
    3,323.88x = 5,644,546.05
  5. Step 5: Solve for x
    x = 5,644,546.05/3,323.88
  6. Step 6: Final answer
    x = 1,698.18

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Why These Related Problems?

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