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Finding the Fourth Proportional to 5,838.84, 8,057.70 and 3,186.27

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Solution

The fourth proportional to 5,838.84, 8,057.70 and 3,186.27 is: 4,397.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.84 : 8,057.70 = 3,186.27 : x
  2. Step 2: Convert to fraction form
    5,838.84/8,057.70 = 3,186.27/x
  3. Step 3: Cross multiply
    5,838.84x = 8,057.70 × 3,186.27
  4. Step 4: Simplify right side
    5,838.84x = 25,674,007.78
  5. Step 5: Solve for x
    x = 25,674,007.78/5,838.84
  6. Step 6: Final answer
    x = 4,397.11

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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.