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Finding the Fourth Proportional to 5,224.60, 7,834.22 and 1,759.32

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Solution

The fourth proportional to 5,224.60, 7,834.22 and 1,759.32 is: 2,638.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.60 : 7,834.22 = 1,759.32 : x
  2. Step 2: Convert to fraction form
    5,224.60/7,834.22 = 1,759.32/x
  3. Step 3: Cross multiply
    5,224.60x = 7,834.22 × 1,759.32
  4. Step 4: Simplify right side
    5,224.60x = 13,782,899.93
  5. Step 5: Solve for x
    x = 13,782,899.93/5,224.60
  6. Step 6: Final answer
    x = 2,638.08

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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.