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Finding the Fourth Proportional to 5,201.59, 7,794.19 and 1,910.16

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Solution

The fourth proportional to 5,201.59, 7,794.19 and 1,910.16 is: 2,862.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.59 : 7,794.19 = 1,910.16 : x
  2. Step 2: Convert to fraction form
    5,201.59/7,794.19 = 1,910.16/x
  3. Step 3: Cross multiply
    5,201.59x = 7,794.19 × 1,910.16
  4. Step 4: Simplify right side
    5,201.59x = 14,888,149.97
  5. Step 5: Solve for x
    x = 14,888,149.97/5,201.59
  6. Step 6: Final answer
    x = 2,862.23

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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.