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Finding the Fourth Proportional to 3,857.78, 5,323.14 and 2,263.82

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Solution

The fourth proportional to 3,857.78, 5,323.14 and 2,263.82 is: 3,123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.78 : 5,323.14 = 2,263.82 : x
  2. Step 2: Convert to fraction form
    3,857.78/5,323.14 = 2,263.82/x
  3. Step 3: Cross multiply
    3,857.78x = 5,323.14 × 2,263.82
  4. Step 4: Simplify right side
    3,857.78x = 12,050,630.79
  5. Step 5: Solve for x
    x = 12,050,630.79/3,857.78
  6. Step 6: Final answer
    x = 3,123.72

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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.