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Finding the Fourth Proportional to 5,509.49, 8,269.68 and 2,879.60

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Solution

The fourth proportional to 5,509.49, 8,269.68 and 2,879.60 is: 4,322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.49 : 8,269.68 = 2,879.60 : x
  2. Step 2: Convert to fraction form
    5,509.49/8,269.68 = 2,879.60/x
  3. Step 3: Cross multiply
    5,509.49x = 8,269.68 × 2,879.60
  4. Step 4: Simplify right side
    5,509.49x = 23,813,370.53
  5. Step 5: Solve for x
    x = 23,813,370.53/5,509.49
  6. Step 6: Final answer
    x = 4,322.25

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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.