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Finding the Fourth Proportional to 3,658.08, 5,047.27 and 2,222.42

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Solution

The fourth proportional to 3,658.08, 5,047.27 and 2,222.42 is: 3,066.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.08 : 5,047.27 = 2,222.42 : x
  2. Step 2: Convert to fraction form
    3,658.08/5,047.27 = 2,222.42/x
  3. Step 3: Cross multiply
    3,658.08x = 5,047.27 × 2,222.42
  4. Step 4: Simplify right side
    3,658.08x = 11,217,144.68
  5. Step 5: Solve for x
    x = 11,217,144.68/3,658.08
  6. Step 6: Final answer
    x = 3,066.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.