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Finding the Fourth Proportional to 3,218.53, 4,828.71 and 1,027.43

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Solution

The fourth proportional to 3,218.53, 4,828.71 and 1,027.43 is: 1,541.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.53 : 4,828.71 = 1,027.43 : x
  2. Step 2: Convert to fraction form
    3,218.53/4,828.71 = 1,027.43/x
  3. Step 3: Cross multiply
    3,218.53x = 4,828.71 × 1,027.43
  4. Step 4: Simplify right side
    3,218.53x = 4,961,132.23
  5. Step 5: Solve for x
    x = 4,961,132.23/3,218.53
  6. Step 6: Final answer
    x = 1,541.43

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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.