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Finding the Fourth Proportional to 4,452.96, 6,681.20 and 1,375.20

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Solution

The fourth proportional to 4,452.96, 6,681.20 and 1,375.20 is: 2,063.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,452.96 : 6,681.20 = 1,375.20 : x
  2. Step 2: Convert to fraction form
    4,452.96/6,681.20 = 1,375.20/x
  3. Step 3: Cross multiply
    4,452.96x = 6,681.20 × 1,375.20
  4. Step 4: Simplify right side
    4,452.96x = 9,187,986.24
  5. Step 5: Solve for x
    x = 9,187,986.24/4,452.96
  6. Step 6: Final answer
    x = 2,063.34

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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.