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Finding the Fourth Proportional to 3,658.52, 5,048.22 and 2,399

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Solution

The fourth proportional to 3,658.52, 5,048.22 and 2,399 is: 3,310.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.52 : 5,048.22 = 2,399 : x
  2. Step 2: Convert to fraction form
    3,658.52/5,048.22 = 2,399/x
  3. Step 3: Cross multiply
    3,658.52x = 5,048.22 × 2,399
  4. Step 4: Simplify right side
    3,658.52x = 12,110,679.78
  5. Step 5: Solve for x
    x = 12,110,679.78/3,658.52
  6. Step 6: Final answer
    x = 3,310.27

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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.