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Finding the Fourth Proportional to 4,223.73, 6,335.82 and 1,103.73

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Solution

The fourth proportional to 4,223.73, 6,335.82 and 1,103.73 is: 1,655.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.73 : 6,335.82 = 1,103.73 : x
  2. Step 2: Convert to fraction form
    4,223.73/6,335.82 = 1,103.73/x
  3. Step 3: Cross multiply
    4,223.73x = 6,335.82 × 1,103.73
  4. Step 4: Simplify right side
    4,223.73x = 6,993,034.61
  5. Step 5: Solve for x
    x = 6,993,034.61/4,223.73
  6. Step 6: Final answer
    x = 1,655.65

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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.