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Finding the Fourth Proportional to 5,193.75, 7,792.91 and 2,728.00

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Solution

The fourth proportional to 5,193.75, 7,792.91 and 2,728.00 is: 4,093.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.75 : 7,792.91 = 2,728.00 : x
  2. Step 2: Convert to fraction form
    5,193.75/7,792.91 = 2,728.00/x
  3. Step 3: Cross multiply
    5,193.75x = 7,792.91 × 2,728.00
  4. Step 4: Simplify right side
    5,193.75x = 21,259,005.88
  5. Step 5: Solve for x
    x = 21,259,005.88/5,193.75
  6. Step 6: Final answer
    x = 4,093.19

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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.