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Finding the Fourth Proportional to 3,960.93, 5,938.46 and 2,400.64

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Solution

The fourth proportional to 3,960.93, 5,938.46 and 2,400.64 is: 3,599.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.93 : 5,938.46 = 2,400.64 : x
  2. Step 2: Convert to fraction form
    3,960.93/5,938.46 = 2,400.64/x
  3. Step 3: Cross multiply
    3,960.93x = 5,938.46 × 2,400.64
  4. Step 4: Simplify right side
    3,960.93x = 14,256,104.61
  5. Step 5: Solve for x
    x = 14,256,104.61/3,960.93
  6. Step 6: Final answer
    x = 3,599.18

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Why These Related Problems?

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