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Finding the Fourth Proportional to 3,705.97, 5,114.23 and 2,214.76

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Solution

The fourth proportional to 3,705.97, 5,114.23 and 2,214.76 is: 3,056.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.97 : 5,114.23 = 2,214.76 : x
  2. Step 2: Convert to fraction form
    3,705.97/5,114.23 = 2,214.76/x
  3. Step 3: Cross multiply
    3,705.97x = 5,114.23 × 2,214.76
  4. Step 4: Simplify right side
    3,705.97x = 11,326,755.39
  5. Step 5: Solve for x
    x = 11,326,755.39/3,705.97
  6. Step 6: Final answer
    x = 3,056.36

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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.