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Finding the Fourth Proportional to 3,053.44, 4,579.44 and 862.24

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Solution

The fourth proportional to 3,053.44, 4,579.44 and 862.24 is: 1,293.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.44 : 4,579.44 = 862.24 : x
  2. Step 2: Convert to fraction form
    3,053.44/4,579.44 = 862.24/x
  3. Step 3: Cross multiply
    3,053.44x = 4,579.44 × 862.24
  4. Step 4: Simplify right side
    3,053.44x = 3,948,576.35
  5. Step 5: Solve for x
    x = 3,948,576.35/3,053.44
  6. Step 6: Final answer
    x = 1,293.16

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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.