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Finding the Fourth Proportional to 5,202.99, 7,797.60 and 2,732.76

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Solution

The fourth proportional to 5,202.99, 7,797.60 and 2,732.76 is: 4,095.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.99 : 7,797.60 = 2,732.76 : x
  2. Step 2: Convert to fraction form
    5,202.99/7,797.60 = 2,732.76/x
  3. Step 3: Cross multiply
    5,202.99x = 7,797.60 × 2,732.76
  4. Step 4: Simplify right side
    5,202.99x = 21,308,969.38
  5. Step 5: Solve for x
    x = 21,308,969.38/5,202.99
  6. Step 6: Final answer
    x = 4,095.52

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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.