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Finding the Fourth Proportional to 3,064.54, 4,229.24 and 2,317.30

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Solution

The fourth proportional to 3,064.54, 4,229.24 and 2,317.30 is: 3,198.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.54 : 4,229.24 = 2,317.30 : x
  2. Step 2: Convert to fraction form
    3,064.54/4,229.24 = 2,317.30/x
  3. Step 3: Cross multiply
    3,064.54x = 4,229.24 × 2,317.30
  4. Step 4: Simplify right side
    3,064.54x = 9,800,417.85
  5. Step 5: Solve for x
    x = 9,800,417.85/3,064.54
  6. Step 6: Final answer
    x = 3,198.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.