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Finding the Fourth Proportional to 3,868.40, 5,794.85 and 1,785.59

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Solution

The fourth proportional to 3,868.40, 5,794.85 and 1,785.59 is: 2,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.40 : 5,794.85 = 1,785.59 : x
  2. Step 2: Convert to fraction form
    3,868.40/5,794.85 = 1,785.59/x
  3. Step 3: Cross multiply
    3,868.40x = 5,794.85 × 1,785.59
  4. Step 4: Simplify right side
    3,868.40x = 10,347,201.70
  5. Step 5: Solve for x
    x = 10,347,201.70/3,868.40
  6. Step 6: Final answer
    x = 2,674.80

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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.