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Finding the Fourth Proportional to 3,999.92, 5,521 and 3,204.50

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Solution

The fourth proportional to 3,999.92, 5,521 and 3,204.50 is: 4,423.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.92 : 5,521 = 3,204.50 : x
  2. Step 2: Convert to fraction form
    3,999.92/5,521 = 3,204.50/x
  3. Step 3: Cross multiply
    3,999.92x = 5,521 × 3,204.50
  4. Step 4: Simplify right side
    3,999.92x = 17,692,044.50
  5. Step 5: Solve for x
    x = 17,692,044.50/3,999.92
  6. Step 6: Final answer
    x = 4,423.10

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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.