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Finding the Fourth Proportional to 5,961.48, 8,226.98 and 3,309

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Solution

The fourth proportional to 5,961.48, 8,226.98 and 3,309 is: 4,566.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961.48 : 8,226.98 = 3,309 : x
  2. Step 2: Convert to fraction form
    5,961.48/8,226.98 = 3,309/x
  3. Step 3: Cross multiply
    5,961.48x = 8,226.98 × 3,309
  4. Step 4: Simplify right side
    5,961.48x = 27,223,076.82
  5. Step 5: Solve for x
    x = 27,223,076.82/5,961.48
  6. Step 6: Final answer
    x = 4,566.50

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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.