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Finding the Fourth Proportional to 4,002.67, 5,964.71 and 3,870.37

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Solution

The fourth proportional to 4,002.67, 5,964.71 and 3,870.37 is: 5,767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.67 : 5,964.71 = 3,870.37 : x
  2. Step 2: Convert to fraction form
    4,002.67/5,964.71 = 3,870.37/x
  3. Step 3: Cross multiply
    4,002.67x = 5,964.71 × 3,870.37
  4. Step 4: Simplify right side
    4,002.67x = 23,085,634.64
  5. Step 5: Solve for x
    x = 23,085,634.64/4,002.67
  6. Step 6: Final answer
    x = 5,767.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.