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Finding the Fourth Proportional to 6,262, 8,641.44 and 3,609.26

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Solution

The fourth proportional to 6,262, 8,641.44 and 3,609.26 is: 4,980.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262 : 8,641.44 = 3,609.26 : x
  2. Step 2: Convert to fraction form
    6,262/8,641.44 = 3,609.26/x
  3. Step 3: Cross multiply
    6,262x = 8,641.44 × 3,609.26
  4. Step 4: Simplify right side
    6,262x = 31,189,203.73
  5. Step 5: Solve for x
    x = 31,189,203.73/6,262
  6. Step 6: Final answer
    x = 4,980.71

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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.