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Finding the Fourth Proportional to 3,964.74, 5,471.11 and 2,196.24

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Solution

The fourth proportional to 3,964.74, 5,471.11 and 2,196.24 is: 3,030.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.74 : 5,471.11 = 2,196.24 : x
  2. Step 2: Convert to fraction form
    3,964.74/5,471.11 = 2,196.24/x
  3. Step 3: Cross multiply
    3,964.74x = 5,471.11 × 2,196.24
  4. Step 4: Simplify right side
    3,964.74x = 12,015,870.63
  5. Step 5: Solve for x
    x = 12,015,870.63/3,964.74
  6. Step 6: Final answer
    x = 3,030.68

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1.5x scale

Why These Related Problems?

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