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Finding the Fourth Proportional to 3,678.92, 5,076.52 and 2,262.68

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Solution

The fourth proportional to 3,678.92, 5,076.52 and 2,262.68 is: 3,122.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.92 : 5,076.52 = 2,262.68 : x
  2. Step 2: Convert to fraction form
    3,678.92/5,076.52 = 2,262.68/x
  3. Step 3: Cross multiply
    3,678.92x = 5,076.52 × 2,262.68
  4. Step 4: Simplify right side
    3,678.92x = 11,486,569.55
  5. Step 5: Solve for x
    x = 11,486,569.55/3,678.92
  6. Step 6: Final answer
    x = 3,122.27

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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.