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Finding the Fourth Proportional to 3,151.86, 4,727.78 and 3,147.30

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Solution

The fourth proportional to 3,151.86, 4,727.78 and 3,147.30 is: 4,720.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.86 : 4,727.78 = 3,147.30 : x
  2. Step 2: Convert to fraction form
    3,151.86/4,727.78 = 3,147.30/x
  3. Step 3: Cross multiply
    3,151.86x = 4,727.78 × 3,147.30
  4. Step 4: Simplify right side
    3,151.86x = 14,879,749.86
  5. Step 5: Solve for x
    x = 14,879,749.86/3,151.86
  6. Step 6: Final answer
    x = 4,720.95

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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.