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Finding the Fourth Proportional to 3,964.63, 5,471.50 and 2,196.40

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Solution

The fourth proportional to 3,964.63, 5,471.50 and 2,196.40 is: 3,031.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.63 : 5,471.50 = 2,196.40 : x
  2. Step 2: Convert to fraction form
    3,964.63/5,471.50 = 2,196.40/x
  3. Step 3: Cross multiply
    3,964.63x = 5,471.50 × 2,196.40
  4. Step 4: Simplify right side
    3,964.63x = 12,017,583.43
  5. Step 5: Solve for x
    x = 12,017,583.43/3,964.63
  6. Step 6: Final answer
    x = 3,031.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.