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Finding the Fourth Proportional to 3,883.24, 5,827.26 and 2,497.46

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Solution

The fourth proportional to 3,883.24, 5,827.26 and 2,497.46 is: 3,747.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.24 : 5,827.26 = 2,497.46 : x
  2. Step 2: Convert to fraction form
    3,883.24/5,827.26 = 2,497.46/x
  3. Step 3: Cross multiply
    3,883.24x = 5,827.26 × 2,497.46
  4. Step 4: Simplify right side
    3,883.24x = 14,553,348.76
  5. Step 5: Solve for x
    x = 14,553,348.76/3,883.24
  6. Step 6: Final answer
    x = 3,747.73

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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.