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Finding the Fourth Proportional to 6,501.75, 9,728.24 and 3,859.58

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Solution

The fourth proportional to 6,501.75, 9,728.24 and 3,859.58 is: 5,774.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.75 : 9,728.24 = 3,859.58 : x
  2. Step 2: Convert to fraction form
    6,501.75/9,728.24 = 3,859.58/x
  3. Step 3: Cross multiply
    6,501.75x = 9,728.24 × 3,859.58
  4. Step 4: Simplify right side
    6,501.75x = 37,546,920.54
  5. Step 5: Solve for x
    x = 37,546,920.54/6,501.75
  6. Step 6: Final answer
    x = 5,774.89

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