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Finding the Fourth Proportional to 4,058.52, 5,600.78 and 2,266

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Solution

The fourth proportional to 4,058.52, 5,600.78 and 2,266 is: 3,127.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,058.52 : 5,600.78 = 2,266 : x
  2. Step 2: Convert to fraction form
    4,058.52/5,600.78 = 2,266/x
  3. Step 3: Cross multiply
    4,058.52x = 5,600.78 × 2,266
  4. Step 4: Simplify right side
    4,058.52x = 12,691,367.48
  5. Step 5: Solve for x
    x = 12,691,367.48/4,058.52
  6. Step 6: Final answer
    x = 3,127.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.