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Finding the Fourth Proportional to 5,616.14, 8,424.23 and 5,480.82

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Solution

The fourth proportional to 5,616.14, 8,424.23 and 5,480.82 is: 8,221.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.14 : 8,424.23 = 5,480.82 : x
  2. Step 2: Convert to fraction form
    5,616.14/8,424.23 = 5,480.82/x
  3. Step 3: Cross multiply
    5,616.14x = 8,424.23 × 5,480.82
  4. Step 4: Simplify right side
    5,616.14x = 46,171,688.27
  5. Step 5: Solve for x
    x = 46,171,688.27/5,616.14
  6. Step 6: Final answer
    x = 8,221.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.