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Finding the Fourth Proportional to 5,202.01, 7,178.22 and 3,077.62

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Solution

The fourth proportional to 5,202.01, 7,178.22 and 3,077.62 is: 4,246.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.01 : 7,178.22 = 3,077.62 : x
  2. Step 2: Convert to fraction form
    5,202.01/7,178.22 = 3,077.62/x
  3. Step 3: Cross multiply
    5,202.01x = 7,178.22 × 3,077.62
  4. Step 4: Simplify right side
    5,202.01x = 22,091,835.68
  5. Step 5: Solve for x
    x = 22,091,835.68/5,202.01
  6. Step 6: Final answer
    x = 4,246.79

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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.