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Finding the Fourth Proportional to 3,257.78, 4,887.46 and 1,066.52

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Solution

The fourth proportional to 3,257.78, 4,887.46 and 1,066.52 is: 1,600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.78 : 4,887.46 = 1,066.52 : x
  2. Step 2: Convert to fraction form
    3,257.78/4,887.46 = 1,066.52/x
  3. Step 3: Cross multiply
    3,257.78x = 4,887.46 × 1,066.52
  4. Step 4: Simplify right side
    3,257.78x = 5,212,573.84
  5. Step 5: Solve for x
    x = 5,212,573.84/3,257.78
  6. Step 6: Final answer
    x = 1,600.04

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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.