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Finding the Fourth Proportional to 4,564.37, 6,829.46 and 3,251.16

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Solution

The fourth proportional to 4,564.37, 6,829.46 and 3,251.16 is: 4,864.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.37 : 6,829.46 = 3,251.16 : x
  2. Step 2: Convert to fraction form
    4,564.37/6,829.46 = 3,251.16/x
  3. Step 3: Cross multiply
    4,564.37x = 6,829.46 × 3,251.16
  4. Step 4: Simplify right side
    4,564.37x = 22,203,650.92
  5. Step 5: Solve for x
    x = 22,203,650.92/4,564.37
  6. Step 6: Final answer
    x = 4,864.57

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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.