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Finding the Fourth Proportional to 3,863.94, 5,332.14 and 2,292

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Solution

The fourth proportional to 3,863.94, 5,332.14 and 2,292 is: 3,162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.94 : 5,332.14 = 2,292 : x
  2. Step 2: Convert to fraction form
    3,863.94/5,332.14 = 2,292/x
  3. Step 3: Cross multiply
    3,863.94x = 5,332.14 × 2,292
  4. Step 4: Simplify right side
    3,863.94x = 12,221,264.88
  5. Step 5: Solve for x
    x = 12,221,264.88/3,863.94
  6. Step 6: Final answer
    x = 3,162.90

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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.