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Finding the Fourth Proportional to 5,914.57, 8,865.78 and 2,214.22

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Solution

The fourth proportional to 5,914.57, 8,865.78 and 2,214.22 is: 3,319.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914.57 : 8,865.78 = 2,214.22 : x
  2. Step 2: Convert to fraction form
    5,914.57/8,865.78 = 2,214.22/x
  3. Step 3: Cross multiply
    5,914.57x = 8,865.78 × 2,214.22
  4. Step 4: Simplify right side
    5,914.57x = 19,630,787.39
  5. Step 5: Solve for x
    x = 19,630,787.39/5,914.57
  6. Step 6: Final answer
    x = 3,319.06

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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.