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Finding the Fourth Proportional to 4,266.86, 6,403.17 and 1,493.55

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Solution

The fourth proportional to 4,266.86, 6,403.17 and 1,493.55 is: 2,241.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266.86 : 6,403.17 = 1,493.55 : x
  2. Step 2: Convert to fraction form
    4,266.86/6,403.17 = 1,493.55/x
  3. Step 3: Cross multiply
    4,266.86x = 6,403.17 × 1,493.55
  4. Step 4: Simplify right side
    4,266.86x = 9,563,469.76
  5. Step 5: Solve for x
    x = 9,563,469.76/4,266.86
  6. Step 6: Final answer
    x = 2,241.34

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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.