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Finding the Fourth Proportional to 3,680.24, 5,078.52 and 2,024.24

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Solution

The fourth proportional to 3,680.24, 5,078.52 and 2,024.24 is: 2,793.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.24 : 5,078.52 = 2,024.24 : x
  2. Step 2: Convert to fraction form
    3,680.24/5,078.52 = 2,024.24/x
  3. Step 3: Cross multiply
    3,680.24x = 5,078.52 × 2,024.24
  4. Step 4: Simplify right side
    3,680.24x = 10,280,143.32
  5. Step 5: Solve for x
    x = 10,280,143.32/3,680.24
  6. Step 6: Final answer
    x = 2,793.34

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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.