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Finding the Fourth Proportional to 2,854.54, 3,937.85 and 2,223.94

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Solution

The fourth proportional to 2,854.54, 3,937.85 and 2,223.94 is: 3,067.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.54 : 3,937.85 = 2,223.94 : x
  2. Step 2: Convert to fraction form
    2,854.54/3,937.85 = 2,223.94/x
  3. Step 3: Cross multiply
    2,854.54x = 3,937.85 × 2,223.94
  4. Step 4: Simplify right side
    2,854.54x = 8,757,542.13
  5. Step 5: Solve for x
    x = 8,757,542.13/2,854.54
  6. Step 6: Final answer
    x = 3,067.93

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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.