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Finding the Fourth Proportional to 3,614.34, 5,421.78 and 1,305.84

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Solution

The fourth proportional to 3,614.34, 5,421.78 and 1,305.84 is: 1,958.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.34 : 5,421.78 = 1,305.84 : x
  2. Step 2: Convert to fraction form
    3,614.34/5,421.78 = 1,305.84/x
  3. Step 3: Cross multiply
    3,614.34x = 5,421.78 × 1,305.84
  4. Step 4: Simplify right side
    3,614.34x = 7,079,977.20
  5. Step 5: Solve for x
    x = 7,079,977.20/3,614.34
  6. Step 6: Final answer
    x = 1,958.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.