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Finding the Fourth Proportional to 3,963.99, 5,464.02 and 3,123.42

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Solution

The fourth proportional to 3,963.99, 5,464.02 and 3,123.42 is: 4,305.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.99 : 5,464.02 = 3,123.42 : x
  2. Step 2: Convert to fraction form
    3,963.99/5,464.02 = 3,123.42/x
  3. Step 3: Cross multiply
    3,963.99x = 5,464.02 × 3,123.42
  4. Step 4: Simplify right side
    3,963.99x = 17,066,429.35
  5. Step 5: Solve for x
    x = 17,066,429.35/3,963.99
  6. Step 6: Final answer
    x = 4,305.37

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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.