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Finding the Fourth Proportional to 3,909.05, 5,864.43 and 1,311.92

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Solution

The fourth proportional to 3,909.05, 5,864.43 and 1,311.92 is: 1,968.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.05 : 5,864.43 = 1,311.92 : x
  2. Step 2: Convert to fraction form
    3,909.05/5,864.43 = 1,311.92/x
  3. Step 3: Cross multiply
    3,909.05x = 5,864.43 × 1,311.92
  4. Step 4: Simplify right side
    3,909.05x = 7,693,663.01
  5. Step 5: Solve for x
    x = 7,693,663.01/3,909.05
  6. Step 6: Final answer
    x = 1,968.17

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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.