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Finding the Fourth Proportional to 3,288.57, 4,923.29 and 2,829.30

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Solution

The fourth proportional to 3,288.57, 4,923.29 and 2,829.30 is: 4,235.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.57 : 4,923.29 = 2,829.30 : x
  2. Step 2: Convert to fraction form
    3,288.57/4,923.29 = 2,829.30/x
  3. Step 3: Cross multiply
    3,288.57x = 4,923.29 × 2,829.30
  4. Step 4: Simplify right side
    3,288.57x = 13,929,469.63
  5. Step 5: Solve for x
    x = 13,929,469.63/3,288.57
  6. Step 6: Final answer
    x = 4,235.72

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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.