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Finding the Fourth Proportional to 3,680.16, 5,078.48 and 2,024.16

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Solution

The fourth proportional to 3,680.16, 5,078.48 and 2,024.16 is: 2,793.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.16 : 5,078.48 = 2,024.16 : x
  2. Step 2: Convert to fraction form
    3,680.16/5,078.48 = 2,024.16/x
  3. Step 3: Cross multiply
    3,680.16x = 5,078.48 × 2,024.16
  4. Step 4: Simplify right side
    3,680.16x = 10,279,656.08
  5. Step 5: Solve for x
    x = 10,279,656.08/3,680.16
  6. Step 6: Final answer
    x = 2,793.26

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