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Finding the Fourth Proportional to 4,588.12, 6,843.97 and 4,145.20

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Solution

The fourth proportional to 4,588.12, 6,843.97 and 4,145.20 is: 6,183.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,588.12 : 6,843.97 = 4,145.20 : x
  2. Step 2: Convert to fraction form
    4,588.12/6,843.97 = 4,145.20/x
  3. Step 3: Cross multiply
    4,588.12x = 6,843.97 × 4,145.20
  4. Step 4: Simplify right side
    4,588.12x = 28,369,603.72
  5. Step 5: Solve for x
    x = 28,369,603.72/4,588.12
  6. Step 6: Final answer
    x = 6,183.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.