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Finding the Fourth Proportional to 3,410.66, 5,114.28 and 1,219.04

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Solution

The fourth proportional to 3,410.66, 5,114.28 and 1,219.04 is: 1,827.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.66 : 5,114.28 = 1,219.04 : x
  2. Step 2: Convert to fraction form
    3,410.66/5,114.28 = 1,219.04/x
  3. Step 3: Cross multiply
    3,410.66x = 5,114.28 × 1,219.04
  4. Step 4: Simplify right side
    3,410.66x = 6,234,511.89
  5. Step 5: Solve for x
    x = 6,234,511.89/3,410.66
  6. Step 6: Final answer
    x = 1,827.95

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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.