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Finding the Fourth Proportional to 3,382.89, 5,074.33 and 1,435.11

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Solution

The fourth proportional to 3,382.89, 5,074.33 and 1,435.11 is: 2,152.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.89 : 5,074.33 = 1,435.11 : x
  2. Step 2: Convert to fraction form
    3,382.89/5,074.33 = 1,435.11/x
  3. Step 3: Cross multiply
    3,382.89x = 5,074.33 × 1,435.11
  4. Step 4: Simplify right side
    3,382.89x = 7,282,221.73
  5. Step 5: Solve for x
    x = 7,282,221.73/3,382.89
  6. Step 6: Final answer
    x = 2,152.66

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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.