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Finding the Fourth Proportional to 5,868.72, 8,097.84 and 3,633.12

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Solution

The fourth proportional to 5,868.72, 8,097.84 and 3,633.12 is: 5,013.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,868.72 : 8,097.84 = 3,633.12 : x
  2. Step 2: Convert to fraction form
    5,868.72/8,097.84 = 3,633.12/x
  3. Step 3: Cross multiply
    5,868.72x = 8,097.84 × 3,633.12
  4. Step 4: Simplify right side
    5,868.72x = 29,420,424.46
  5. Step 5: Solve for x
    x = 29,420,424.46/5,868.72
  6. Step 6: Final answer
    x = 5,013.09

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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.