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Finding the Fourth Proportional to 3,295.97, 4,944.71 and 955.88

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Solution

The fourth proportional to 3,295.97, 4,944.71 and 955.88 is: 1,434.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.97 : 4,944.71 = 955.88 : x
  2. Step 2: Convert to fraction form
    3,295.97/4,944.71 = 955.88/x
  3. Step 3: Cross multiply
    3,295.97x = 4,944.71 × 955.88
  4. Step 4: Simplify right side
    3,295.97x = 4,726,549.39
  5. Step 5: Solve for x
    x = 4,726,549.39/3,295.97
  6. Step 6: Final answer
    x = 1,434.04

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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.