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Finding the Fourth Proportional to 3,658.14, 5,049 and 2,331.54

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Solution

The fourth proportional to 3,658.14, 5,049 and 2,331.54 is: 3,218.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.14 : 5,049 = 2,331.54 : x
  2. Step 2: Convert to fraction form
    3,658.14/5,049 = 2,331.54/x
  3. Step 3: Cross multiply
    3,658.14x = 5,049 × 2,331.54
  4. Step 4: Simplify right side
    3,658.14x = 11,771,945.46
  5. Step 5: Solve for x
    x = 11,771,945.46/3,658.14
  6. Step 6: Final answer
    x = 3,218.01

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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.