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Finding the Fourth Proportional to 3,474.84, 5,211.04 and 1,009

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Solution

The fourth proportional to 3,474.84, 5,211.04 and 1,009 is: 1,513.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.84 : 5,211.04 = 1,009 : x
  2. Step 2: Convert to fraction form
    3,474.84/5,211.04 = 1,009/x
  3. Step 3: Cross multiply
    3,474.84x = 5,211.04 × 1,009
  4. Step 4: Simplify right side
    3,474.84x = 5,257,939.36
  5. Step 5: Solve for x
    x = 5,257,939.36/3,474.84
  6. Step 6: Final answer
    x = 1,513.15

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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.