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Finding the Fourth Proportional to 5,221.50, 7,832.66 and 1,523.72

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Solution

The fourth proportional to 5,221.50, 7,832.66 and 1,523.72 is: 2,285.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.50 : 7,832.66 = 1,523.72 : x
  2. Step 2: Convert to fraction form
    5,221.50/7,832.66 = 1,523.72/x
  3. Step 3: Cross multiply
    5,221.50x = 7,832.66 × 1,523.72
  4. Step 4: Simplify right side
    5,221.50x = 11,934,733.91
  5. Step 5: Solve for x
    x = 11,934,733.91/5,221.50
  6. Step 6: Final answer
    x = 2,285.69

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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.