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Finding the Fourth Proportional to 3,691.91, 5,094.77 and 2,013.32

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Solution

The fourth proportional to 3,691.91, 5,094.77 and 2,013.32 is: 2,778.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.91 : 5,094.77 = 2,013.32 : x
  2. Step 2: Convert to fraction form
    3,691.91/5,094.77 = 2,013.32/x
  3. Step 3: Cross multiply
    3,691.91x = 5,094.77 × 2,013.32
  4. Step 4: Simplify right side
    3,691.91x = 10,257,407.37
  5. Step 5: Solve for x
    x = 10,257,407.37/3,691.91
  6. Step 6: Final answer
    x = 2,778.35

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1.5x scale

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.