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Finding the Fourth Proportional to 3,230.66, 4,847.21 and 1,284.23

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Solution

The fourth proportional to 3,230.66, 4,847.21 and 1,284.23 is: 1,926.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.66 : 4,847.21 = 1,284.23 : x
  2. Step 2: Convert to fraction form
    3,230.66/4,847.21 = 1,284.23/x
  3. Step 3: Cross multiply
    3,230.66x = 4,847.21 × 1,284.23
  4. Step 4: Simplify right side
    3,230.66x = 6,224,926.08
  5. Step 5: Solve for x
    x = 6,224,926.08/3,230.66
  6. Step 6: Final answer
    x = 1,926.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.