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Finding the Fourth Proportional to 3,678.56, 5,076.24 and 2,187.44

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Solution

The fourth proportional to 3,678.56, 5,076.24 and 2,187.44 is: 3,018.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.56 : 5,076.24 = 2,187.44 : x
  2. Step 2: Convert to fraction form
    3,678.56/5,076.24 = 2,187.44/x
  3. Step 3: Cross multiply
    3,678.56x = 5,076.24 × 2,187.44
  4. Step 4: Simplify right side
    3,678.56x = 11,103,970.43
  5. Step 5: Solve for x
    x = 11,103,970.43/3,678.56
  6. Step 6: Final answer
    x = 3,018.56

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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.