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Finding the Fourth Proportional to 3,474.56, 5,212.08 and 1,009.40

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Solution

The fourth proportional to 3,474.56, 5,212.08 and 1,009.40 is: 1,514.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.56 : 5,212.08 = 1,009.40 : x
  2. Step 2: Convert to fraction form
    3,474.56/5,212.08 = 1,009.40/x
  3. Step 3: Cross multiply
    3,474.56x = 5,212.08 × 1,009.40
  4. Step 4: Simplify right side
    3,474.56x = 5,261,073.55
  5. Step 5: Solve for x
    x = 5,261,073.55/3,474.56
  6. Step 6: Final answer
    x = 1,514.17

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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.