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Finding the Fourth Proportional to 5,908.69, 8,154.09 and 3,816.46

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Solution

The fourth proportional to 5,908.69, 8,154.09 and 3,816.46 is: 5,266.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,908.69 : 8,154.09 = 3,816.46 : x
  2. Step 2: Convert to fraction form
    5,908.69/8,154.09 = 3,816.46/x
  3. Step 3: Cross multiply
    5,908.69x = 8,154.09 × 3,816.46
  4. Step 4: Simplify right side
    5,908.69x = 31,119,737.94
  5. Step 5: Solve for x
    x = 31,119,737.94/5,908.69
  6. Step 6: Final answer
    x = 5,266.78

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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.