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Finding the Fourth Proportional to 5,679.82, 7,840.29 and 4,199.65

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Solution

The fourth proportional to 5,679.82, 7,840.29 and 4,199.65 is: 5,797.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.82 : 7,840.29 = 4,199.65 : x
  2. Step 2: Convert to fraction form
    5,679.82/7,840.29 = 4,199.65/x
  3. Step 3: Cross multiply
    5,679.82x = 7,840.29 × 4,199.65
  4. Step 4: Simplify right side
    5,679.82x = 32,926,473.90
  5. Step 5: Solve for x
    x = 32,926,473.90/5,679.82
  6. Step 6: Final answer
    x = 5,797.10

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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.