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Finding the Fourth Proportional to 4,230.71, 6,332.77 and 2,906.72

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Solution

The fourth proportional to 4,230.71, 6,332.77 and 2,906.72 is: 4,350.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.71 : 6,332.77 = 2,906.72 : x
  2. Step 2: Convert to fraction form
    4,230.71/6,332.77 = 2,906.72/x
  3. Step 3: Cross multiply
    4,230.71x = 6,332.77 × 2,906.72
  4. Step 4: Simplify right side
    4,230.71x = 18,407,589.21
  5. Step 5: Solve for x
    x = 18,407,589.21/4,230.71
  6. Step 6: Final answer
    x = 4,350.95

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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.