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Finding the Fourth Proportional to 3,729.47, 5,594.97 and 1,264.22

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Solution

The fourth proportional to 3,729.47, 5,594.97 and 1,264.22 is: 1,896.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.47 : 5,594.97 = 1,264.22 : x
  2. Step 2: Convert to fraction form
    3,729.47/5,594.97 = 1,264.22/x
  3. Step 3: Cross multiply
    3,729.47x = 5,594.97 × 1,264.22
  4. Step 4: Simplify right side
    3,729.47x = 7,073,272.97
  5. Step 5: Solve for x
    x = 7,073,272.97/3,729.47
  6. Step 6: Final answer
    x = 1,896.59

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1.5x scale

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.