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Finding the Fourth Proportional to 3,678.92, 5,078.21 and 2,186.83

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Solution

The fourth proportional to 3,678.92, 5,078.21 and 2,186.83 is: 3,018.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.92 : 5,078.21 = 2,186.83 : x
  2. Step 2: Convert to fraction form
    3,678.92/5,078.21 = 2,186.83/x
  3. Step 3: Cross multiply
    3,678.92x = 5,078.21 × 2,186.83
  4. Step 4: Simplify right side
    3,678.92x = 11,105,177.39
  5. Step 5: Solve for x
    x = 11,105,177.39/3,678.92
  6. Step 6: Final answer
    x = 3,018.60

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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.