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Finding the Fourth Proportional to 3,229.98, 4,845.24 and 1,009.32

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Solution

The fourth proportional to 3,229.98, 4,845.24 and 1,009.32 is: 1,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.98 : 4,845.24 = 1,009.32 : x
  2. Step 2: Convert to fraction form
    3,229.98/4,845.24 = 1,009.32/x
  3. Step 3: Cross multiply
    3,229.98x = 4,845.24 × 1,009.32
  4. Step 4: Simplify right side
    3,229.98x = 4,890,397.64
  5. Step 5: Solve for x
    x = 4,890,397.64/3,229.98
  6. Step 6: Final answer
    x = 1,514.06

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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.