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Finding the Fourth Proportional to 3,766, 5,197.08 and 2,294

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Solution

The fourth proportional to 3,766, 5,197.08 and 2,294 is: 3,165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766 : 5,197.08 = 2,294 : x
  2. Step 2: Convert to fraction form
    3,766/5,197.08 = 2,294/x
  3. Step 3: Cross multiply
    3,766x = 5,197.08 × 2,294
  4. Step 4: Simplify right side
    3,766x = 11,922,101.52
  5. Step 5: Solve for x
    x = 11,922,101.52/3,766
  6. Step 6: Final answer
    x = 3,165.72

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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.