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Finding the Fourth Proportional to 4,562.19, 6,843.09 and 4,512.78

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Solution

The fourth proportional to 4,562.19, 6,843.09 and 4,512.78 is: 6,768.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.19 : 6,843.09 = 4,512.78 : x
  2. Step 2: Convert to fraction form
    4,562.19/6,843.09 = 4,512.78/x
  3. Step 3: Cross multiply
    4,562.19x = 6,843.09 × 4,512.78
  4. Step 4: Simplify right side
    4,562.19x = 30,881,359.69
  5. Step 5: Solve for x
    x = 30,881,359.69/4,562.19
  6. Step 6: Final answer
    x = 6,768.98

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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.