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Finding the Fourth Proportional to 5,466.74, 8,193.19 and 3,491.61

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Solution

The fourth proportional to 5,466.74, 8,193.19 and 3,491.61 is: 5,232.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466.74 : 8,193.19 = 3,491.61 : x
  2. Step 2: Convert to fraction form
    5,466.74/8,193.19 = 3,491.61/x
  3. Step 3: Cross multiply
    5,466.74x = 8,193.19 × 3,491.61
  4. Step 4: Simplify right side
    5,466.74x = 28,607,406.68
  5. Step 5: Solve for x
    x = 28,607,406.68/5,466.74
  6. Step 6: Final answer
    x = 5,232.99

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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.