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Finding the Fourth Proportional to 5,679.41, 7,832.54 and 3,690.65

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Solution

The fourth proportional to 5,679.41, 7,832.54 and 3,690.65 is: 5,089.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.41 : 7,832.54 = 3,690.65 : x
  2. Step 2: Convert to fraction form
    5,679.41/7,832.54 = 3,690.65/x
  3. Step 3: Cross multiply
    5,679.41x = 7,832.54 × 3,690.65
  4. Step 4: Simplify right side
    5,679.41x = 28,907,106.14
  5. Step 5: Solve for x
    x = 28,907,106.14/5,679.41
  6. Step 6: Final answer
    x = 5,089.81

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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.