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Finding the Fourth Proportional to 5,669.82, 7,823.79 and 3,311.64

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Solution

The fourth proportional to 5,669.82, 7,823.79 and 3,311.64 is: 4,569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.82 : 7,823.79 = 3,311.64 : x
  2. Step 2: Convert to fraction form
    5,669.82/7,823.79 = 3,311.64/x
  3. Step 3: Cross multiply
    5,669.82x = 7,823.79 × 3,311.64
  4. Step 4: Simplify right side
    5,669.82x = 25,909,575.92
  5. Step 5: Solve for x
    x = 25,909,575.92/5,669.82
  6. Step 6: Final answer
    x = 4,569.74

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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.