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Finding the Fourth Proportional to 5,196.02, 7,171.80 and 3,208.22

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Solution

The fourth proportional to 5,196.02, 7,171.80 and 3,208.22 is: 4,428.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.02 : 7,171.80 = 3,208.22 : x
  2. Step 2: Convert to fraction form
    5,196.02/7,171.80 = 3,208.22/x
  3. Step 3: Cross multiply
    5,196.02x = 7,171.80 × 3,208.22
  4. Step 4: Simplify right side
    5,196.02x = 23,008,712.20
  5. Step 5: Solve for x
    x = 23,008,712.20/5,196.02
  6. Step 6: Final answer
    x = 4,428.14

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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.