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Finding the Fourth Proportional to 5,241.24, 7,825.23 and 4,507.80

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Solution

The fourth proportional to 5,241.24, 7,825.23 and 4,507.80 is: 6,730.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.24 : 7,825.23 = 4,507.80 : x
  2. Step 2: Convert to fraction form
    5,241.24/7,825.23 = 4,507.80/x
  3. Step 3: Cross multiply
    5,241.24x = 7,825.23 × 4,507.80
  4. Step 4: Simplify right side
    5,241.24x = 35,274,571.79
  5. Step 5: Solve for x
    x = 35,274,571.79/5,241.24
  6. Step 6: Final answer
    x = 6,730.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.