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Finding the Fourth Proportional to 4,811.96, 7,217.76 and 2,214.80

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Solution

The fourth proportional to 4,811.96, 7,217.76 and 2,214.80 is: 3,322.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.96 : 7,217.76 = 2,214.80 : x
  2. Step 2: Convert to fraction form
    4,811.96/7,217.76 = 2,214.80/x
  3. Step 3: Cross multiply
    4,811.96x = 7,217.76 × 2,214.80
  4. Step 4: Simplify right side
    4,811.96x = 15,985,894.85
  5. Step 5: Solve for x
    x = 15,985,894.85/4,811.96
  6. Step 6: Final answer
    x = 3,322.12

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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.