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Finding the Fourth Proportional to 5,426.83, 7,489.11 and 3,188.76

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Solution

The fourth proportional to 5,426.83, 7,489.11 and 3,188.76 is: 4,400.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,426.83 : 7,489.11 = 3,188.76 : x
  2. Step 2: Convert to fraction form
    5,426.83/7,489.11 = 3,188.76/x
  3. Step 3: Cross multiply
    5,426.83x = 7,489.11 × 3,188.76
  4. Step 4: Simplify right side
    5,426.83x = 23,880,974.40
  5. Step 5: Solve for x
    x = 23,880,974.40/5,426.83
  6. Step 6: Final answer
    x = 4,400.54

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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.