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Finding the Fourth Proportional to 5,833.84, 8,747.52 and 1,936.12

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Solution

The fourth proportional to 5,833.84, 8,747.52 and 1,936.12 is: 2,903.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833.84 : 8,747.52 = 1,936.12 : x
  2. Step 2: Convert to fraction form
    5,833.84/8,747.52 = 1,936.12/x
  3. Step 3: Cross multiply
    5,833.84x = 8,747.52 × 1,936.12
  4. Step 4: Simplify right side
    5,833.84x = 16,936,248.42
  5. Step 5: Solve for x
    x = 16,936,248.42/5,833.84
  6. Step 6: Final answer
    x = 2,903.10

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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.