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Finding the Fourth Proportional to 2,573.78, 3,857.36 and 2,227.10

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Solution

The fourth proportional to 2,573.78, 3,857.36 and 2,227.10 is: 3,337.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.78 : 3,857.36 = 2,227.10 : x
  2. Step 2: Convert to fraction form
    2,573.78/3,857.36 = 2,227.10/x
  3. Step 3: Cross multiply
    2,573.78x = 3,857.36 × 2,227.10
  4. Step 4: Simplify right side
    2,573.78x = 8,590,726.46
  5. Step 5: Solve for x
    x = 8,590,726.46/2,573.78
  6. Step 6: Final answer
    x = 3,337.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.