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Finding the Fourth Proportional to 5,748.68, 7,934.04 and 3,511.84

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Solution

The fourth proportional to 5,748.68, 7,934.04 and 3,511.84 is: 4,846.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.68 : 7,934.04 = 3,511.84 : x
  2. Step 2: Convert to fraction form
    5,748.68/7,934.04 = 3,511.84/x
  3. Step 3: Cross multiply
    5,748.68x = 7,934.04 × 3,511.84
  4. Step 4: Simplify right side
    5,748.68x = 27,863,079.03
  5. Step 5: Solve for x
    x = 27,863,079.03/5,748.68
  6. Step 6: Final answer
    x = 4,846.87

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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.