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Finding the Fourth Proportional to 5,518.24, 7,615.28 and 3,160.38

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Solution

The fourth proportional to 5,518.24, 7,615.28 and 3,160.38 is: 4,361.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,518.24 : 7,615.28 = 3,160.38 : x
  2. Step 2: Convert to fraction form
    5,518.24/7,615.28 = 3,160.38/x
  3. Step 3: Cross multiply
    5,518.24x = 7,615.28 × 3,160.38
  4. Step 4: Simplify right side
    5,518.24x = 24,067,178.61
  5. Step 5: Solve for x
    x = 24,067,178.61/5,518.24
  6. Step 6: Final answer
    x = 4,361.39

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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.