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Finding the Fourth Proportional to 5,759.96, 8,640.09 and 1,600.27

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Solution

The fourth proportional to 5,759.96, 8,640.09 and 1,600.27 is: 2,400.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.96 : 8,640.09 = 1,600.27 : x
  2. Step 2: Convert to fraction form
    5,759.96/8,640.09 = 1,600.27/x
  3. Step 3: Cross multiply
    5,759.96x = 8,640.09 × 1,600.27
  4. Step 4: Simplify right side
    5,759.96x = 13,826,455.22
  5. Step 5: Solve for x
    x = 13,826,455.22/5,759.96
  6. Step 6: Final answer
    x = 2,400.45

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1.5x scale

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.