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Finding the Fourth Proportional to 4,065.33, 5,610.42 and 2,296.97

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Solution

The fourth proportional to 4,065.33, 5,610.42 and 2,296.97 is: 3,169.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.33 : 5,610.42 = 2,296.97 : x
  2. Step 2: Convert to fraction form
    4,065.33/5,610.42 = 2,296.97/x
  3. Step 3: Cross multiply
    4,065.33x = 5,610.42 × 2,296.97
  4. Step 4: Simplify right side
    4,065.33x = 12,886,966.43
  5. Step 5: Solve for x
    x = 12,886,966.43/4,065.33
  6. Step 6: Final answer
    x = 3,169.97

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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.