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Finding the Fourth Proportional to 5,202.58, 7,179.62 and 2,964.42

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Solution

The fourth proportional to 5,202.58, 7,179.62 and 2,964.42 is: 4,090.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.58 : 7,179.62 = 2,964.42 : x
  2. Step 2: Convert to fraction form
    5,202.58/7,179.62 = 2,964.42/x
  3. Step 3: Cross multiply
    5,202.58x = 7,179.62 × 2,964.42
  4. Step 4: Simplify right side
    5,202.58x = 21,283,409.12
  5. Step 5: Solve for x
    x = 21,283,409.12/5,202.58
  6. Step 6: Final answer
    x = 4,090.93

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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.