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Finding the Fourth Proportional to 3,954, 5,458.80 and 3,024.24

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Solution

The fourth proportional to 3,954, 5,458.80 and 3,024.24 is: 4,175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954 : 5,458.80 = 3,024.24 : x
  2. Step 2: Convert to fraction form
    3,954/5,458.80 = 3,024.24/x
  3. Step 3: Cross multiply
    3,954x = 5,458.80 × 3,024.24
  4. Step 4: Simplify right side
    3,954x = 16,508,721.31
  5. Step 5: Solve for x
    x = 16,508,721.31/3,954
  6. Step 6: Final answer
    x = 4,175.20

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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.