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Finding the Fourth Proportional to 3,852.72, 5,774.80 and 1,906.32

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Solution

The fourth proportional to 3,852.72, 5,774.80 and 1,906.32 is: 2,857.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.72 : 5,774.80 = 1,906.32 : x
  2. Step 2: Convert to fraction form
    3,852.72/5,774.80 = 1,906.32/x
  3. Step 3: Cross multiply
    3,852.72x = 5,774.80 × 1,906.32
  4. Step 4: Simplify right side
    3,852.72x = 11,008,616.74
  5. Step 5: Solve for x
    x = 11,008,616.74/3,852.72
  6. Step 6: Final answer
    x = 2,857.36

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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.