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Finding the Fourth Proportional to 3,410, 5,114.85 and 1,069.96

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Solution

The fourth proportional to 3,410, 5,114.85 and 1,069.96 is: 1,604.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410 : 5,114.85 = 1,069.96 : x
  2. Step 2: Convert to fraction form
    3,410/5,114.85 = 1,069.96/x
  3. Step 3: Cross multiply
    3,410x = 5,114.85 × 1,069.96
  4. Step 4: Simplify right side
    3,410x = 5,472,684.91
  5. Step 5: Solve for x
    x = 5,472,684.91/3,410
  6. Step 6: Final answer
    x = 1,604.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.