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Finding the Fourth Proportional to 3,473.66, 5,207.52 and 1,717.86

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Solution

The fourth proportional to 3,473.66, 5,207.52 and 1,717.86 is: 2,575.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.66 : 5,207.52 = 1,717.86 : x
  2. Step 2: Convert to fraction form
    3,473.66/5,207.52 = 1,717.86/x
  3. Step 3: Cross multiply
    3,473.66x = 5,207.52 × 1,717.86
  4. Step 4: Simplify right side
    3,473.66x = 8,945,790.31
  5. Step 5: Solve for x
    x = 8,945,790.31/3,473.66
  6. Step 6: Final answer
    x = 2,575.32

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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.