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Finding the Fourth Proportional to 5,487.98, 8,223.72 and 3,294.32

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Solution

The fourth proportional to 5,487.98, 8,223.72 and 3,294.32 is: 4,936.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,487.98 : 8,223.72 = 3,294.32 : x
  2. Step 2: Convert to fraction form
    5,487.98/8,223.72 = 3,294.32/x
  3. Step 3: Cross multiply
    5,487.98x = 8,223.72 × 3,294.32
  4. Step 4: Simplify right side
    5,487.98x = 27,091,565.27
  5. Step 5: Solve for x
    x = 27,091,565.27/5,487.98
  6. Step 6: Final answer
    x = 4,936.53

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Why These Related Problems?

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