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Finding the Fourth Proportional to 5,046.15, 7,571.85 and 2,859.15

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Solution

The fourth proportional to 5,046.15, 7,571.85 and 2,859.15 is: 4,290.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.15 : 7,571.85 = 2,859.15 : x
  2. Step 2: Convert to fraction form
    5,046.15/7,571.85 = 2,859.15/x
  3. Step 3: Cross multiply
    5,046.15x = 7,571.85 × 2,859.15
  4. Step 4: Simplify right side
    5,046.15x = 21,649,017.07
  5. Step 5: Solve for x
    x = 21,649,017.07/5,046.15
  6. Step 6: Final answer
    x = 4,290.21

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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.