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Finding the Fourth Proportional to 3,256.97, 4,884.92 and 917.13

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Solution

The fourth proportional to 3,256.97, 4,884.92 and 917.13 is: 1,375.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.97 : 4,884.92 = 917.13 : x
  2. Step 2: Convert to fraction form
    3,256.97/4,884.92 = 917.13/x
  3. Step 3: Cross multiply
    3,256.97x = 4,884.92 × 917.13
  4. Step 4: Simplify right side
    3,256.97x = 4,480,102.09
  5. Step 5: Solve for x
    x = 4,480,102.09/3,256.97
  6. Step 6: Final answer
    x = 1,375.55

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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.