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Finding the Fourth Proportional to 5,218.77, 7,822.89 and 3,272.34

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Solution

The fourth proportional to 5,218.77, 7,822.89 and 3,272.34 is: 4,905.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.77 : 7,822.89 = 3,272.34 : x
  2. Step 2: Convert to fraction form
    5,218.77/7,822.89 = 3,272.34/x
  3. Step 3: Cross multiply
    5,218.77x = 7,822.89 × 3,272.34
  4. Step 4: Simplify right side
    5,218.77x = 25,599,155.86
  5. Step 5: Solve for x
    x = 25,599,155.86/5,218.77
  6. Step 6: Final answer
    x = 4,905.21

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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.