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Finding the Fourth Proportional to 5,498.40, 8,233.20 and 4,029.60

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Solution

The fourth proportional to 5,498.40, 8,233.20 and 4,029.60 is: 6,033.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.40 : 8,233.20 = 4,029.60 : x
  2. Step 2: Convert to fraction form
    5,498.40/8,233.20 = 4,029.60/x
  3. Step 3: Cross multiply
    5,498.40x = 8,233.20 × 4,029.60
  4. Step 4: Simplify right side
    5,498.40x = 33,176,502.72
  5. Step 5: Solve for x
    x = 33,176,502.72/5,498.40
  6. Step 6: Final answer
    x = 6,033.85

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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.