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Finding the Fourth Proportional to 5,494.41, 8,227.50 and 3,026.47

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Solution

The fourth proportional to 5,494.41, 8,227.50 and 3,026.47 is: 4,531.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.41 : 8,227.50 = 3,026.47 : x
  2. Step 2: Convert to fraction form
    5,494.41/8,227.50 = 3,026.47/x
  3. Step 3: Cross multiply
    5,494.41x = 8,227.50 × 3,026.47
  4. Step 4: Simplify right side
    5,494.41x = 24,900,281.93
  5. Step 5: Solve for x
    x = 24,900,281.93/5,494.41
  6. Step 6: Final answer
    x = 4,531.93

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Why These Related Problems?

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