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Finding the Fourth Proportional to 5,443.47, 8,161.50 and 3,494.61

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Solution

The fourth proportional to 5,443.47, 8,161.50 and 3,494.61 is: 5,239.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443.47 : 8,161.50 = 3,494.61 : x
  2. Step 2: Convert to fraction form
    5,443.47/8,161.50 = 3,494.61/x
  3. Step 3: Cross multiply
    5,443.47x = 8,161.50 × 3,494.61
  4. Step 4: Simplify right side
    5,443.47x = 28,521,259.52
  5. Step 5: Solve for x
    x = 28,521,259.52/5,443.47
  6. Step 6: Final answer
    x = 5,239.54

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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.