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Finding the Fourth Proportional to 5,491.60, 8,238.44 and 2,204.95

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Solution

The fourth proportional to 5,491.60, 8,238.44 and 2,204.95 is: 3,307.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.60 : 8,238.44 = 2,204.95 : x
  2. Step 2: Convert to fraction form
    5,491.60/8,238.44 = 2,204.95/x
  3. Step 3: Cross multiply
    5,491.60x = 8,238.44 × 2,204.95
  4. Step 4: Simplify right side
    5,491.60x = 18,165,316.66
  5. Step 5: Solve for x
    x = 18,165,316.66/5,491.60
  6. Step 6: Final answer
    x = 3,307.84

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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.