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Finding the Fourth Proportional to 5,885.78, 8,122.36 and 3,233.20

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Solution

The fourth proportional to 5,885.78, 8,122.36 and 3,233.20 is: 4,461.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885.78 : 8,122.36 = 3,233.20 : x
  2. Step 2: Convert to fraction form
    5,885.78/8,122.36 = 3,233.20/x
  3. Step 3: Cross multiply
    5,885.78x = 8,122.36 × 3,233.20
  4. Step 4: Simplify right side
    5,885.78x = 26,261,214.35
  5. Step 5: Solve for x
    x = 26,261,214.35/5,885.78
  6. Step 6: Final answer
    x = 4,461.81

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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.