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Finding the Fourth Proportional to 3,473.58, 5,202.44 and 2,171.82

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Solution

The fourth proportional to 3,473.58, 5,202.44 and 2,171.82 is: 3,252.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.58 : 5,202.44 = 2,171.82 : x
  2. Step 2: Convert to fraction form
    3,473.58/5,202.44 = 2,171.82/x
  3. Step 3: Cross multiply
    3,473.58x = 5,202.44 × 2,171.82
  4. Step 4: Simplify right side
    3,473.58x = 11,298,763.24
  5. Step 5: Solve for x
    x = 11,298,763.24/3,473.58
  6. Step 6: Final answer
    x = 3,252.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.