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Finding the Fourth Proportional to 3,678.82, 5,076.72 and 2,738.81

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Solution

The fourth proportional to 3,678.82, 5,076.72 and 2,738.81 is: 3,779.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.82 : 5,076.72 = 2,738.81 : x
  2. Step 2: Convert to fraction form
    3,678.82/5,076.72 = 2,738.81/x
  3. Step 3: Cross multiply
    3,678.82x = 5,076.72 × 2,738.81
  4. Step 4: Simplify right side
    3,678.82x = 13,904,178.35
  5. Step 5: Solve for x
    x = 13,904,178.35/3,678.82
  6. Step 6: Final answer
    x = 3,779.53

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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.