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Finding the Fourth Proportional to 5,202.32, 7,179.17 and 2,964.17

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Solution

The fourth proportional to 5,202.32, 7,179.17 and 2,964.17 is: 4,090.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.32 : 7,179.17 = 2,964.17 : x
  2. Step 2: Convert to fraction form
    5,202.32/7,179.17 = 2,964.17/x
  3. Step 3: Cross multiply
    5,202.32x = 7,179.17 × 2,964.17
  4. Step 4: Simplify right side
    5,202.32x = 21,280,283.47
  5. Step 5: Solve for x
    x = 21,280,283.47/5,202.32
  6. Step 6: Final answer
    x = 4,090.54

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