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Finding the Fourth Proportional to 3,474.67, 5,212.77 and 1,009.57

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Solution

The fourth proportional to 3,474.67, 5,212.77 and 1,009.57 is: 1,514.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.67 : 5,212.77 = 1,009.57 : x
  2. Step 2: Convert to fraction form
    3,474.67/5,212.77 = 1,009.57/x
  3. Step 3: Cross multiply
    3,474.67x = 5,212.77 × 1,009.57
  4. Step 4: Simplify right side
    3,474.67x = 5,262,656.21
  5. Step 5: Solve for x
    x = 5,262,656.21/3,474.67
  6. Step 6: Final answer
    x = 1,514.58

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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.