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Finding the Fourth Proportional to 3,552.63, 5,327.32 and 1,704.61

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Solution

The fourth proportional to 3,552.63, 5,327.32 and 1,704.61 is: 2,556.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,552.63 : 5,327.32 = 1,704.61 : x
  2. Step 2: Convert to fraction form
    3,552.63/5,327.32 = 1,704.61/x
  3. Step 3: Cross multiply
    3,552.63x = 5,327.32 × 1,704.61
  4. Step 4: Simplify right side
    3,552.63x = 9,081,015.93
  5. Step 5: Solve for x
    x = 9,081,015.93/3,552.63
  6. Step 6: Final answer
    x = 2,556.14

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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.