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Finding the Fourth Proportional to 3,984.64, 5,965.76 and 2,032.64

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Solution

The fourth proportional to 3,984.64, 5,965.76 and 2,032.64 is: 3,043.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.64 : 5,965.76 = 2,032.64 : x
  2. Step 2: Convert to fraction form
    3,984.64/5,965.76 = 2,032.64/x
  3. Step 3: Cross multiply
    3,984.64x = 5,965.76 × 2,032.64
  4. Step 4: Simplify right side
    3,984.64x = 12,126,242.41
  5. Step 5: Solve for x
    x = 12,126,242.41/3,984.64
  6. Step 6: Final answer
    x = 3,043.25

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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.