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Finding the Fourth Proportional to 3,770.15, 5,653.98 and 1,578.29

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Solution

The fourth proportional to 3,770.15, 5,653.98 and 1,578.29 is: 2,366.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.15 : 5,653.98 = 1,578.29 : x
  2. Step 2: Convert to fraction form
    3,770.15/5,653.98 = 1,578.29/x
  3. Step 3: Cross multiply
    3,770.15x = 5,653.98 × 1,578.29
  4. Step 4: Simplify right side
    3,770.15x = 8,923,591.82
  5. Step 5: Solve for x
    x = 8,923,591.82/3,770.15
  6. Step 6: Final answer
    x = 2,366.91

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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.