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Finding the Fourth Proportional to 3,488.32, 5,232.62 and 1,023.22

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Solution

The fourth proportional to 3,488.32, 5,232.62 and 1,023.22 is: 1,534.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.32 : 5,232.62 = 1,023.22 : x
  2. Step 2: Convert to fraction form
    3,488.32/5,232.62 = 1,023.22/x
  3. Step 3: Cross multiply
    3,488.32x = 5,232.62 × 1,023.22
  4. Step 4: Simplify right side
    3,488.32x = 5,354,121.44
  5. Step 5: Solve for x
    x = 5,354,121.44/3,488.32
  6. Step 6: Final answer
    x = 1,534.87

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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.