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Finding the Fourth Proportional to 5,664.20, 8,493 and 2,197.40

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Solution

The fourth proportional to 5,664.20, 8,493 and 2,197.40 is: 3,294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.20 : 8,493 = 2,197.40 : x
  2. Step 2: Convert to fraction form
    5,664.20/8,493 = 2,197.40/x
  3. Step 3: Cross multiply
    5,664.20x = 8,493 × 2,197.40
  4. Step 4: Simplify right side
    5,664.20x = 18,662,518.20
  5. Step 5: Solve for x
    x = 18,662,518.20/5,664.20
  6. Step 6: Final answer
    x = 3,294.82

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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.