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Finding the Fourth Proportional to 3,658.34, 5,048.64 and 2,222.72

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Solution

The fourth proportional to 3,658.34, 5,048.64 and 2,222.72 is: 3,067.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.34 : 5,048.64 = 2,222.72 : x
  2. Step 2: Convert to fraction form
    3,658.34/5,048.64 = 2,222.72/x
  3. Step 3: Cross multiply
    3,658.34x = 5,048.64 × 2,222.72
  4. Step 4: Simplify right side
    3,658.34x = 11,221,713.10
  5. Step 5: Solve for x
    x = 11,221,713.10/3,658.34
  6. Step 6: Final answer
    x = 3,067.43

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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.