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Finding the Fourth Proportional to 4,580, 6,313.92 and 3,256.73

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Solution

The fourth proportional to 4,580, 6,313.92 and 3,256.73 is: 4,489.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,580 : 6,313.92 = 3,256.73 : x
  2. Step 2: Convert to fraction form
    4,580/6,313.92 = 3,256.73/x
  3. Step 3: Cross multiply
    4,580x = 6,313.92 × 3,256.73
  4. Step 4: Simplify right side
    4,580x = 20,562,732.68
  5. Step 5: Solve for x
    x = 20,562,732.68/4,580
  6. Step 6: Final answer
    x = 4,489.68

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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.