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Finding the Fourth Proportional to 3,410.70, 5,105.12 and 2,298.08

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Solution

The fourth proportional to 3,410.70, 5,105.12 and 2,298.08 is: 3,439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.70 : 5,105.12 = 2,298.08 : x
  2. Step 2: Convert to fraction form
    3,410.70/5,105.12 = 2,298.08/x
  3. Step 3: Cross multiply
    3,410.70x = 5,105.12 × 2,298.08
  4. Step 4: Simplify right side
    3,410.70x = 11,731,937.15
  5. Step 5: Solve for x
    x = 11,731,937.15/3,410.70
  6. Step 6: Final answer
    x = 3,439.74

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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.