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Finding the Fourth Proportional to 3,964.40, 5,946.65 and 1,884.62

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Solution

The fourth proportional to 3,964.40, 5,946.65 and 1,884.62 is: 2,826.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.40 : 5,946.65 = 1,884.62 : x
  2. Step 2: Convert to fraction form
    3,964.40/5,946.65 = 1,884.62/x
  3. Step 3: Cross multiply
    3,964.40x = 5,946.65 × 1,884.62
  4. Step 4: Simplify right side
    3,964.40x = 11,207,175.52
  5. Step 5: Solve for x
    x = 11,207,175.52/3,964.40
  6. Step 6: Final answer
    x = 2,826.95

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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.