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Finding the Fourth Proportional to 3,964.15, 5,464.19 and 3,123.47

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Solution

The fourth proportional to 3,964.15, 5,464.19 and 3,123.47 is: 4,305.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.15 : 5,464.19 = 3,123.47 : x
  2. Step 2: Convert to fraction form
    3,964.15/5,464.19 = 3,123.47/x
  3. Step 3: Cross multiply
    3,964.15x = 5,464.19 × 3,123.47
  4. Step 4: Simplify right side
    3,964.15x = 17,067,255.01
  5. Step 5: Solve for x
    x = 17,067,255.01/3,964.15
  6. Step 6: Final answer
    x = 4,305.40

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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.