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Finding the Fourth Proportional to 5,645.44, 8,466.80 and 3,997.20

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Solution

The fourth proportional to 5,645.44, 8,466.80 and 3,997.20 is: 5,994.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.44 : 8,466.80 = 3,997.20 : x
  2. Step 2: Convert to fraction form
    5,645.44/8,466.80 = 3,997.20/x
  3. Step 3: Cross multiply
    5,645.44x = 8,466.80 × 3,997.20
  4. Step 4: Simplify right side
    5,645.44x = 33,843,492.96
  5. Step 5: Solve for x
    x = 33,843,492.96/5,645.44
  6. Step 6: Final answer
    x = 5,994.84

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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.