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Finding the Fourth Proportional to 3,932.01, 5,426.42 and 2,164.01

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Solution

The fourth proportional to 3,932.01, 5,426.42 and 2,164.01 is: 2,986.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.01 : 5,426.42 = 2,164.01 : x
  2. Step 2: Convert to fraction form
    3,932.01/5,426.42 = 2,164.01/x
  3. Step 3: Cross multiply
    3,932.01x = 5,426.42 × 2,164.01
  4. Step 4: Simplify right side
    3,932.01x = 11,742,789.19
  5. Step 5: Solve for x
    x = 11,742,789.19/3,932.01
  6. Step 6: Final answer
    x = 2,986.46

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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.