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Finding the Fourth Proportional to 4,111.78, 5,661.82 and 3,447.48

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Solution

The fourth proportional to 4,111.78, 5,661.82 and 3,447.48 is: 4,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,111.78 : 5,661.82 = 3,447.48 : x
  2. Step 2: Convert to fraction form
    4,111.78/5,661.82 = 3,447.48/x
  3. Step 3: Cross multiply
    4,111.78x = 5,661.82 × 3,447.48
  4. Step 4: Simplify right side
    4,111.78x = 19,519,011.21
  5. Step 5: Solve for x
    x = 19,519,011.21/4,111.78
  6. Step 6: Final answer
    x = 4,747.10

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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.