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Finding the Fourth Proportional to 3,188.43, 4,749.77 and 3,091.71

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Solution

The fourth proportional to 3,188.43, 4,749.77 and 3,091.71 is: 4,605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.43 : 4,749.77 = 3,091.71 : x
  2. Step 2: Convert to fraction form
    3,188.43/4,749.77 = 3,091.71/x
  3. Step 3: Cross multiply
    3,188.43x = 4,749.77 × 3,091.71
  4. Step 4: Simplify right side
    3,188.43x = 14,684,895.95
  5. Step 5: Solve for x
    x = 14,684,895.95/3,188.43
  6. Step 6: Final answer
    x = 4,605.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.