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Finding the Fourth Proportional to 3,393.97, 5,090.91 and 928.78

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Solution

The fourth proportional to 3,393.97, 5,090.91 and 928.78 is: 1,393.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393.97 : 5,090.91 = 928.78 : x
  2. Step 2: Convert to fraction form
    3,393.97/5,090.91 = 928.78/x
  3. Step 3: Cross multiply
    3,393.97x = 5,090.91 × 928.78
  4. Step 4: Simplify right side
    3,393.97x = 4,728,335.39
  5. Step 5: Solve for x
    x = 4,728,335.39/3,393.97
  6. Step 6: Final answer
    x = 1,393.16

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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.