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Finding the Fourth Proportional to 5,488.56, 7,568.44 and 4,147.27

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Solution

The fourth proportional to 5,488.56, 7,568.44 and 4,147.27 is: 5,718.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.56 : 7,568.44 = 4,147.27 : x
  2. Step 2: Convert to fraction form
    5,488.56/7,568.44 = 4,147.27/x
  3. Step 3: Cross multiply
    5,488.56x = 7,568.44 × 4,147.27
  4. Step 4: Simplify right side
    5,488.56x = 31,388,334.87
  5. Step 5: Solve for x
    x = 31,388,334.87/5,488.56
  6. Step 6: Final answer
    x = 5,718.87

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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.