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Finding the Fourth Proportional to 5,202.16, 7,799.14 and 2,735.68

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Solution

The fourth proportional to 5,202.16, 7,799.14 and 2,735.68 is: 4,101.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.16 : 7,799.14 = 2,735.68 : x
  2. Step 2: Convert to fraction form
    5,202.16/7,799.14 = 2,735.68/x
  3. Step 3: Cross multiply
    5,202.16x = 7,799.14 × 2,735.68
  4. Step 4: Simplify right side
    5,202.16x = 21,335,951.32
  5. Step 5: Solve for x
    x = 21,335,951.32/5,202.16
  6. Step 6: Final answer
    x = 4,101.36

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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.