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Finding the Fourth Proportional to 5,624.20, 7,762.90 and 3,234.44

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Solution

The fourth proportional to 5,624.20, 7,762.90 and 3,234.44 is: 4,464.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.20 : 7,762.90 = 3,234.44 : x
  2. Step 2: Convert to fraction form
    5,624.20/7,762.90 = 3,234.44/x
  3. Step 3: Cross multiply
    5,624.20x = 7,762.90 × 3,234.44
  4. Step 4: Simplify right side
    5,624.20x = 25,108,587.38
  5. Step 5: Solve for x
    x = 25,108,587.38/5,624.20
  6. Step 6: Final answer
    x = 4,464.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.