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Finding the Fourth Proportional to 3,892.51, 5,371.78 and 2,214.16

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Solution

The fourth proportional to 3,892.51, 5,371.78 and 2,214.16 is: 3,055.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.51 : 5,371.78 = 2,214.16 : x
  2. Step 2: Convert to fraction form
    3,892.51/5,371.78 = 2,214.16/x
  3. Step 3: Cross multiply
    3,892.51x = 5,371.78 × 2,214.16
  4. Step 4: Simplify right side
    3,892.51x = 11,893,985.94
  5. Step 5: Solve for x
    x = 11,893,985.94/3,892.51
  6. Step 6: Final answer
    x = 3,055.61

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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.