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Finding the Fourth Proportional to 5,669.96, 7,822.01 and 3,311.06

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Solution

The fourth proportional to 5,669.96, 7,822.01 and 3,311.06 is: 4,567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.96 : 7,822.01 = 3,311.06 : x
  2. Step 2: Convert to fraction form
    5,669.96/7,822.01 = 3,311.06/x
  3. Step 3: Cross multiply
    5,669.96x = 7,822.01 × 3,311.06
  4. Step 4: Simplify right side
    5,669.96x = 25,899,113.60
  5. Step 5: Solve for x
    x = 25,899,113.60/5,669.96
  6. Step 6: Final answer
    x = 4,567.78

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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.