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Finding the Fourth Proportional to 4,285.44, 6,429.13 and 1,512.31

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Solution

The fourth proportional to 4,285.44, 6,429.13 and 1,512.31 is: 2,268.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,285.44 : 6,429.13 = 1,512.31 : x
  2. Step 2: Convert to fraction form
    4,285.44/6,429.13 = 1,512.31/x
  3. Step 3: Cross multiply
    4,285.44x = 6,429.13 × 1,512.31
  4. Step 4: Simplify right side
    4,285.44x = 9,722,830.03
  5. Step 5: Solve for x
    x = 9,722,830.03/4,285.44
  6. Step 6: Final answer
    x = 2,268.81

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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.