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Finding the Fourth Proportional to 5,221.50, 7,832.25 and 1,758.75

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Solution

The fourth proportional to 5,221.50, 7,832.25 and 1,758.75 is: 2,638.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.50 : 7,832.25 = 1,758.75 : x
  2. Step 2: Convert to fraction form
    5,221.50/7,832.25 = 1,758.75/x
  3. Step 3: Cross multiply
    5,221.50x = 7,832.25 × 1,758.75
  4. Step 4: Simplify right side
    5,221.50x = 13,774,969.69
  5. Step 5: Solve for x
    x = 13,774,969.69/5,221.50
  6. Step 6: Final answer
    x = 2,638.13

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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.