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Finding the Fourth Proportional to 3,893.40, 5,372.68 and 2,214.58

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Solution

The fourth proportional to 3,893.40, 5,372.68 and 2,214.58 is: 3,056.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.40 : 5,372.68 = 2,214.58 : x
  2. Step 2: Convert to fraction form
    3,893.40/5,372.68 = 2,214.58/x
  3. Step 3: Cross multiply
    3,893.40x = 5,372.68 × 2,214.58
  4. Step 4: Simplify right side
    3,893.40x = 11,898,229.67
  5. Step 5: Solve for x
    x = 11,898,229.67/3,893.40
  6. Step 6: Final answer
    x = 3,056.00

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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.