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Finding the Fourth Proportional to 3,744.49, 5,618.33 and 1,405.61

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Solution

The fourth proportional to 3,744.49, 5,618.33 and 1,405.61 is: 2,109.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.49 : 5,618.33 = 1,405.61 : x
  2. Step 2: Convert to fraction form
    3,744.49/5,618.33 = 1,405.61/x
  3. Step 3: Cross multiply
    3,744.49x = 5,618.33 × 1,405.61
  4. Step 4: Simplify right side
    3,744.49x = 7,897,187.85
  5. Step 5: Solve for x
    x = 7,897,187.85/3,744.49
  6. Step 6: Final answer
    x = 2,109.02

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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.