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Finding the Fourth Proportional to 5,202.99, 7,180.16 and 2,845.14

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Solution

The fourth proportional to 5,202.99, 7,180.16 and 2,845.14 is: 3,926.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.99 : 7,180.16 = 2,845.14 : x
  2. Step 2: Convert to fraction form
    5,202.99/7,180.16 = 2,845.14/x
  3. Step 3: Cross multiply
    5,202.99x = 7,180.16 × 2,845.14
  4. Step 4: Simplify right side
    5,202.99x = 20,428,560.42
  5. Step 5: Solve for x
    x = 20,428,560.42/5,202.99
  6. Step 6: Final answer
    x = 3,926.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.