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Finding the Fourth Proportional to 5,626.34, 7,764.36 and 3,388.31

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Solution

The fourth proportional to 5,626.34, 7,764.36 and 3,388.31 is: 4,675.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.34 : 7,764.36 = 3,388.31 : x
  2. Step 2: Convert to fraction form
    5,626.34/7,764.36 = 3,388.31/x
  3. Step 3: Cross multiply
    5,626.34x = 7,764.36 × 3,388.31
  4. Step 4: Simplify right side
    5,626.34x = 26,308,014.38
  5. Step 5: Solve for x
    x = 26,308,014.38/5,626.34
  6. Step 6: Final answer
    x = 4,675.87

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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.