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Finding the Fourth Proportional to 5,669.77, 8,493.42 and 3,886.44

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Solution

The fourth proportional to 5,669.77, 8,493.42 and 3,886.44 is: 5,821.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.77 : 8,493.42 = 3,886.44 : x
  2. Step 2: Convert to fraction form
    5,669.77/8,493.42 = 3,886.44/x
  3. Step 3: Cross multiply
    5,669.77x = 8,493.42 × 3,886.44
  4. Step 4: Simplify right side
    5,669.77x = 33,009,173.84
  5. Step 5: Solve for x
    x = 33,009,173.84/5,669.77
  6. Step 6: Final answer
    x = 5,821.96

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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.