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Finding the Fourth Proportional to 4,107.56, 5,668.22 and 2,339.16

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Solution

The fourth proportional to 4,107.56, 5,668.22 and 2,339.16 is: 3,227.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.56 : 5,668.22 = 2,339.16 : x
  2. Step 2: Convert to fraction form
    4,107.56/5,668.22 = 2,339.16/x
  3. Step 3: Cross multiply
    4,107.56x = 5,668.22 × 2,339.16
  4. Step 4: Simplify right side
    4,107.56x = 13,258,873.50
  5. Step 5: Solve for x
    x = 13,258,873.50/4,107.56
  6. Step 6: Final answer
    x = 3,227.92

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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.