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Finding the Fourth Proportional to 5,396.24, 7,443.24 and 3,530

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Solution

The fourth proportional to 5,396.24, 7,443.24 and 3,530 is: 4,869.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.24 : 7,443.24 = 3,530 : x
  2. Step 2: Convert to fraction form
    5,396.24/7,443.24 = 3,530/x
  3. Step 3: Cross multiply
    5,396.24x = 7,443.24 × 3,530
  4. Step 4: Simplify right side
    5,396.24x = 26,274,637.20
  5. Step 5: Solve for x
    x = 26,274,637.20/5,396.24
  6. Step 6: Final answer
    x = 4,869.06

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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.