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Finding the Fourth Proportional to 4,658.98, 6,429.39 and 2,563.09

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Solution

The fourth proportional to 4,658.98, 6,429.39 and 2,563.09 is: 3,537.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.98 : 6,429.39 = 2,563.09 : x
  2. Step 2: Convert to fraction form
    4,658.98/6,429.39 = 2,563.09/x
  3. Step 3: Cross multiply
    4,658.98x = 6,429.39 × 2,563.09
  4. Step 4: Simplify right side
    4,658.98x = 16,479,105.22
  5. Step 5: Solve for x
    x = 16,479,105.22/4,658.98
  6. Step 6: Final answer
    x = 3,537.06

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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.