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Finding the Fourth Proportional to 6,421.05, 8,855.64 and 4,181.20

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Solution

The fourth proportional to 6,421.05, 8,855.64 and 4,181.20 is: 5,766.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.05 : 8,855.64 = 4,181.20 : x
  2. Step 2: Convert to fraction form
    6,421.05/8,855.64 = 4,181.20/x
  3. Step 3: Cross multiply
    6,421.05x = 8,855.64 × 4,181.20
  4. Step 4: Simplify right side
    6,421.05x = 37,027,201.97
  5. Step 5: Solve for x
    x = 37,027,201.97/6,421.05
  6. Step 6: Final answer
    x = 5,766.53

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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.