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Finding the Fourth Proportional to 5,491.60, 8,213.40 and 4,910.80

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Solution

The fourth proportional to 5,491.60, 8,213.40 and 4,910.80 is: 7,344.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.60 : 8,213.40 = 4,910.80 : x
  2. Step 2: Convert to fraction form
    5,491.60/8,213.40 = 4,910.80/x
  3. Step 3: Cross multiply
    5,491.60x = 8,213.40 × 4,910.80
  4. Step 4: Simplify right side
    5,491.60x = 40,334,364.72
  5. Step 5: Solve for x
    x = 40,334,364.72/5,491.60
  6. Step 6: Final answer
    x = 7,344.74

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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.