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Finding the Fourth Proportional to 3,247.78, 4,871.94 and 1,056.46

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Solution

The fourth proportional to 3,247.78, 4,871.94 and 1,056.46 is: 1,584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.78 : 4,871.94 = 1,056.46 : x
  2. Step 2: Convert to fraction form
    3,247.78/4,871.94 = 1,056.46/x
  3. Step 3: Cross multiply
    3,247.78x = 4,871.94 × 1,056.46
  4. Step 4: Simplify right side
    3,247.78x = 5,147,009.73
  5. Step 5: Solve for x
    x = 5,147,009.73/3,247.78
  6. Step 6: Final answer
    x = 1,584.78

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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.