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Finding the Fourth Proportional to 4,747.54, 6,554.68 and 4,249.31

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Solution

The fourth proportional to 4,747.54, 6,554.68 and 4,249.31 is: 5,866.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.54 : 6,554.68 = 4,249.31 : x
  2. Step 2: Convert to fraction form
    4,747.54/6,554.68 = 4,249.31/x
  3. Step 3: Cross multiply
    4,747.54x = 6,554.68 × 4,249.31
  4. Step 4: Simplify right side
    4,747.54x = 27,852,867.27
  5. Step 5: Solve for x
    x = 27,852,867.27/4,747.54
  6. Step 6: Final answer
    x = 5,866.80

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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.