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Finding the Fourth Proportional to 3,691.64, 5,092.14 and 2,366.24

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Solution

The fourth proportional to 3,691.64, 5,092.14 and 2,366.24 is: 3,263.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.64 : 5,092.14 = 2,366.24 : x
  2. Step 2: Convert to fraction form
    3,691.64/5,092.14 = 2,366.24/x
  3. Step 3: Cross multiply
    3,691.64x = 5,092.14 × 2,366.24
  4. Step 4: Simplify right side
    3,691.64x = 12,049,225.35
  5. Step 5: Solve for x
    x = 12,049,225.35/3,691.64
  6. Step 6: Final answer
    x = 3,263.92

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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.