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Finding the Fourth Proportional to 5,435.74, 7,503.87 and 3,843.73

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Solution

The fourth proportional to 5,435.74, 7,503.87 and 3,843.73 is: 5,306.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435.74 : 7,503.87 = 3,843.73 : x
  2. Step 2: Convert to fraction form
    5,435.74/7,503.87 = 3,843.73/x
  3. Step 3: Cross multiply
    5,435.74x = 7,503.87 × 3,843.73
  4. Step 4: Simplify right side
    5,435.74x = 28,842,850.24
  5. Step 5: Solve for x
    x = 28,842,850.24/5,435.74
  6. Step 6: Final answer
    x = 5,306.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.