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Finding the Fourth Proportional to 3,785.70, 5,677.67 and 1,444.85

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Solution

The fourth proportional to 3,785.70, 5,677.67 and 1,444.85 is: 2,166.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.70 : 5,677.67 = 1,444.85 : x
  2. Step 2: Convert to fraction form
    3,785.70/5,677.67 = 1,444.85/x
  3. Step 3: Cross multiply
    3,785.70x = 5,677.67 × 1,444.85
  4. Step 4: Simplify right side
    3,785.70x = 8,203,378.01
  5. Step 5: Solve for x
    x = 8,203,378.01/3,785.70
  6. Step 6: Final answer
    x = 2,166.94

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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.