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Finding the Fourth Proportional to 5,836.74, 8,056 and 3,711.84

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Solution

The fourth proportional to 5,836.74, 8,056 and 3,711.84 is: 5,123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.74 : 8,056 = 3,711.84 : x
  2. Step 2: Convert to fraction form
    5,836.74/8,056 = 3,711.84/x
  3. Step 3: Cross multiply
    5,836.74x = 8,056 × 3,711.84
  4. Step 4: Simplify right side
    5,836.74x = 29,902,583.04
  5. Step 5: Solve for x
    x = 29,902,583.04/5,836.74
  6. Step 6: Final answer
    x = 5,123.17

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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.