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Finding the Fourth Proportional to 3,960.64, 5,942.88 and 1,652.80

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Solution

The fourth proportional to 3,960.64, 5,942.88 and 1,652.80 is: 2,480.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.64 : 5,942.88 = 1,652.80 : x
  2. Step 2: Convert to fraction form
    3,960.64/5,942.88 = 1,652.80/x
  3. Step 3: Cross multiply
    3,960.64x = 5,942.88 × 1,652.80
  4. Step 4: Simplify right side
    3,960.64x = 9,822,392.06
  5. Step 5: Solve for x
    x = 9,822,392.06/3,960.64
  6. Step 6: Final answer
    x = 2,480.00

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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.