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Finding the Fourth Proportional to 3,214.53, 4,816.94 and 2,520.77

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Solution

The fourth proportional to 3,214.53, 4,816.94 and 2,520.77 is: 3,777.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.53 : 4,816.94 = 2,520.77 : x
  2. Step 2: Convert to fraction form
    3,214.53/4,816.94 = 2,520.77/x
  3. Step 3: Cross multiply
    3,214.53x = 4,816.94 × 2,520.77
  4. Step 4: Simplify right side
    3,214.53x = 12,142,361.16
  5. Step 5: Solve for x
    x = 12,142,361.16/3,214.53
  6. Step 6: Final answer
    x = 3,777.34

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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.