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Finding the Fourth Proportional to 3,866.66, 5,785.40 and 2,223.98

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Solution

The fourth proportional to 3,866.66, 5,785.40 and 2,223.98 is: 3,327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.66 : 5,785.40 = 2,223.98 : x
  2. Step 2: Convert to fraction form
    3,866.66/5,785.40 = 2,223.98/x
  3. Step 3: Cross multiply
    3,866.66x = 5,785.40 × 2,223.98
  4. Step 4: Simplify right side
    3,866.66x = 12,866,613.89
  5. Step 5: Solve for x
    x = 12,866,613.89/3,866.66
  6. Step 6: Final answer
    x = 3,327.58

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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.