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Finding the Fourth Proportional to 4,542.16, 6,811.68 and 2,200.80

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Solution

The fourth proportional to 4,542.16, 6,811.68 and 2,200.80 is: 3,300.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.16 : 6,811.68 = 2,200.80 : x
  2. Step 2: Convert to fraction form
    4,542.16/6,811.68 = 2,200.80/x
  3. Step 3: Cross multiply
    4,542.16x = 6,811.68 × 2,200.80
  4. Step 4: Simplify right side
    4,542.16x = 14,991,145.34
  5. Step 5: Solve for x
    x = 14,991,145.34/4,542.16
  6. Step 6: Final answer
    x = 3,300.44

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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.