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Finding the Fourth Proportional to 3,893.16, 5,371.64 and 2,214.21

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Solution

The fourth proportional to 3,893.16, 5,371.64 and 2,214.21 is: 3,055.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.16 : 5,371.64 = 2,214.21 : x
  2. Step 2: Convert to fraction form
    3,893.16/5,371.64 = 2,214.21/x
  3. Step 3: Cross multiply
    3,893.16x = 5,371.64 × 2,214.21
  4. Step 4: Simplify right side
    3,893.16x = 11,893,927.93
  5. Step 5: Solve for x
    x = 11,893,927.93/3,893.16
  6. Step 6: Final answer
    x = 3,055.08

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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.