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Finding the Fourth Proportional to 5,965.90, 8,233.05 and 3,607.54

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Solution

The fourth proportional to 5,965.90, 8,233.05 and 3,607.54 is: 4,978.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.90 : 8,233.05 = 3,607.54 : x
  2. Step 2: Convert to fraction form
    5,965.90/8,233.05 = 3,607.54/x
  3. Step 3: Cross multiply
    5,965.90x = 8,233.05 × 3,607.54
  4. Step 4: Simplify right side
    5,965.90x = 29,701,057.20
  5. Step 5: Solve for x
    x = 29,701,057.20/5,965.90
  6. Step 6: Final answer
    x = 4,978.47

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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.