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Finding the Fourth Proportional to 3,410.53, 5,114.15 and 2,024.05

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Solution

The fourth proportional to 3,410.53, 5,114.15 and 2,024.05 is: 3,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.53 : 5,114.15 = 2,024.05 : x
  2. Step 2: Convert to fraction form
    3,410.53/5,114.15 = 2,024.05/x
  3. Step 3: Cross multiply
    3,410.53x = 5,114.15 × 2,024.05
  4. Step 4: Simplify right side
    3,410.53x = 10,351,295.31
  5. Step 5: Solve for x
    x = 10,351,295.31/3,410.53
  6. Step 6: Final answer
    x = 3,035.10

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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.