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Finding the Fourth Proportional to 3,257.89, 4,887.44 and 1,066.74

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Solution

The fourth proportional to 3,257.89, 4,887.44 and 1,066.74 is: 1,600.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.89 : 4,887.44 = 1,066.74 : x
  2. Step 2: Convert to fraction form
    3,257.89/4,887.44 = 1,066.74/x
  3. Step 3: Cross multiply
    3,257.89x = 4,887.44 × 1,066.74
  4. Step 4: Simplify right side
    3,257.89x = 5,213,627.75
  5. Step 5: Solve for x
    x = 5,213,627.75/3,257.89
  6. Step 6: Final answer
    x = 1,600.31

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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.