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Finding the Fourth Proportional to 5,402.20, 7,452.99 and 3,412

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Solution

The fourth proportional to 5,402.20, 7,452.99 and 3,412 is: 4,707.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.20 : 7,452.99 = 3,412 : x
  2. Step 2: Convert to fraction form
    5,402.20/7,452.99 = 3,412/x
  3. Step 3: Cross multiply
    5,402.20x = 7,452.99 × 3,412
  4. Step 4: Simplify right side
    5,402.20x = 25,429,601.88
  5. Step 5: Solve for x
    x = 25,429,601.88/5,402.20
  6. Step 6: Final answer
    x = 4,707.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.