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Finding the Fourth Proportional to 5,487.84, 8,234.52 and 2,203.20

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Solution

The fourth proportional to 5,487.84, 8,234.52 and 2,203.20 is: 3,305.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,487.84 : 8,234.52 = 2,203.20 : x
  2. Step 2: Convert to fraction form
    5,487.84/8,234.52 = 2,203.20/x
  3. Step 3: Cross multiply
    5,487.84x = 8,234.52 × 2,203.20
  4. Step 4: Simplify right side
    5,487.84x = 18,142,294.46
  5. Step 5: Solve for x
    x = 18,142,294.46/5,487.84
  6. Step 6: Final answer
    x = 3,305.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.