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Finding the Fourth Proportional to 3,517.64, 4,854.48 and 1,984.64

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Solution

The fourth proportional to 3,517.64, 4,854.48 and 1,984.64 is: 2,738.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.64 : 4,854.48 = 1,984.64 : x
  2. Step 2: Convert to fraction form
    3,517.64/4,854.48 = 1,984.64/x
  3. Step 3: Cross multiply
    3,517.64x = 4,854.48 × 1,984.64
  4. Step 4: Simplify right side
    3,517.64x = 9,634,395.19
  5. Step 5: Solve for x
    x = 9,634,395.19/3,517.64
  6. Step 6: Final answer
    x = 2,738.88

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Why These Related Problems?

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