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Finding the Fourth Proportional to 5,208.88, 7,822.55 and 4,993.62

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Solution

The fourth proportional to 5,208.88, 7,822.55 and 4,993.62 is: 7,499.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.88 : 7,822.55 = 4,993.62 : x
  2. Step 2: Convert to fraction form
    5,208.88/7,822.55 = 4,993.62/x
  3. Step 3: Cross multiply
    5,208.88x = 7,822.55 × 4,993.62
  4. Step 4: Simplify right side
    5,208.88x = 39,062,778.05
  5. Step 5: Solve for x
    x = 39,062,778.05/5,208.88
  6. Step 6: Final answer
    x = 7,499.27

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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.