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Finding the Fourth Proportional to 3,678.91, 5,090.21 and 3,207.79

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Solution

The fourth proportional to 3,678.91, 5,090.21 and 3,207.79 is: 4,438.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.91 : 5,090.21 = 3,207.79 : x
  2. Step 2: Convert to fraction form
    3,678.91/5,090.21 = 3,207.79/x
  3. Step 3: Cross multiply
    3,678.91x = 5,090.21 × 3,207.79
  4. Step 4: Simplify right side
    3,678.91x = 16,328,324.74
  5. Step 5: Solve for x
    x = 16,328,324.74/3,678.91
  6. Step 6: Final answer
    x = 4,438.36

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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.