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Finding the Fourth Proportional to 5,509.80, 8,268.17 and 3,433.86

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Solution

The fourth proportional to 5,509.80, 8,268.17 and 3,433.86 is: 5,152.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.80 : 8,268.17 = 3,433.86 : x
  2. Step 2: Convert to fraction form
    5,509.80/8,268.17 = 3,433.86/x
  3. Step 3: Cross multiply
    5,509.80x = 8,268.17 × 3,433.86
  4. Step 4: Simplify right side
    5,509.80x = 28,391,721.07
  5. Step 5: Solve for x
    x = 28,391,721.07/5,509.80
  6. Step 6: Final answer
    x = 5,152.95

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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.