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Finding the Fourth Proportional to 5,694.67, 7,855.68 and 3,804.13

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Solution

The fourth proportional to 5,694.67, 7,855.68 and 3,804.13 is: 5,247.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.67 : 7,855.68 = 3,804.13 : x
  2. Step 2: Convert to fraction form
    5,694.67/7,855.68 = 3,804.13/x
  3. Step 3: Cross multiply
    5,694.67x = 7,855.68 × 3,804.13
  4. Step 4: Simplify right side
    5,694.67x = 29,884,027.96
  5. Step 5: Solve for x
    x = 29,884,027.96/5,694.67
  6. Step 6: Final answer
    x = 5,247.72

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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.