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Finding the Fourth Proportional to 3,385.55, 5,080.14 and 2,563.62

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Solution

The fourth proportional to 3,385.55, 5,080.14 and 2,563.62 is: 3,846.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.55 : 5,080.14 = 2,563.62 : x
  2. Step 2: Convert to fraction form
    3,385.55/5,080.14 = 2,563.62/x
  3. Step 3: Cross multiply
    3,385.55x = 5,080.14 × 2,563.62
  4. Step 4: Simplify right side
    3,385.55x = 13,023,548.51
  5. Step 5: Solve for x
    x = 13,023,548.51/3,385.55
  6. Step 6: Final answer
    x = 3,846.81

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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.