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Finding the Fourth Proportional to 5,433.86, 8,149.44 and 2,509.40

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Solution

The fourth proportional to 5,433.86, 8,149.44 and 2,509.40 is: 3,763.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,433.86 : 8,149.44 = 2,509.40 : x
  2. Step 2: Convert to fraction form
    5,433.86/8,149.44 = 2,509.40/x
  3. Step 3: Cross multiply
    5,433.86x = 8,149.44 × 2,509.40
  4. Step 4: Simplify right side
    5,433.86x = 20,450,204.74
  5. Step 5: Solve for x
    x = 20,450,204.74/5,433.86
  6. Step 6: Final answer
    x = 3,763.48

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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.