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Finding the Fourth Proportional to 5,388.40, 8,092.20 and 5,215.60

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Solution

The fourth proportional to 5,388.40, 8,092.20 and 5,215.60 is: 7,832.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,388.40 : 8,092.20 = 5,215.60 : x
  2. Step 2: Convert to fraction form
    5,388.40/8,092.20 = 5,215.60/x
  3. Step 3: Cross multiply
    5,388.40x = 8,092.20 × 5,215.60
  4. Step 4: Simplify right side
    5,388.40x = 42,205,678.32
  5. Step 5: Solve for x
    x = 42,205,678.32/5,388.40
  6. Step 6: Final answer
    x = 7,832.69

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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.