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Finding the Fourth Proportional to 3,672.36, 5,502.78 and 3,122.28

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Solution

The fourth proportional to 3,672.36, 5,502.78 and 3,122.28 is: 4,678.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.36 : 5,502.78 = 3,122.28 : x
  2. Step 2: Convert to fraction form
    3,672.36/5,502.78 = 3,122.28/x
  3. Step 3: Cross multiply
    3,672.36x = 5,502.78 × 3,122.28
  4. Step 4: Simplify right side
    3,672.36x = 17,181,219.94
  5. Step 5: Solve for x
    x = 17,181,219.94/3,672.36
  6. Step 6: Final answer
    x = 4,678.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.