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Finding the Fourth Proportional to 3,760.29, 5,640.16 and 1,680.48

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Solution

The fourth proportional to 3,760.29, 5,640.16 and 1,680.48 is: 2,520.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.29 : 5,640.16 = 1,680.48 : x
  2. Step 2: Convert to fraction form
    3,760.29/5,640.16 = 1,680.48/x
  3. Step 3: Cross multiply
    3,760.29x = 5,640.16 × 1,680.48
  4. Step 4: Simplify right side
    3,760.29x = 9,478,176.08
  5. Step 5: Solve for x
    x = 9,478,176.08/3,760.29
  6. Step 6: Final answer
    x = 2,520.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.