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Finding the Fourth Proportional to 4,177.78, 5,752.22 and 3,546.99

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Solution

The fourth proportional to 4,177.78, 5,752.22 and 3,546.99 is: 4,883.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.78 : 5,752.22 = 3,546.99 : x
  2. Step 2: Convert to fraction form
    4,177.78/5,752.22 = 3,546.99/x
  3. Step 3: Cross multiply
    4,177.78x = 5,752.22 × 3,546.99
  4. Step 4: Simplify right side
    4,177.78x = 20,403,066.82
  5. Step 5: Solve for x
    x = 20,403,066.82/4,177.78
  6. Step 6: Final answer
    x = 4,883.71

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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.