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Finding the Fourth Proportional to 4,562.37, 6,843.55 and 1,099.62

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Solution

The fourth proportional to 4,562.37, 6,843.55 and 1,099.62 is: 1,649.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.37 : 6,843.55 = 1,099.62 : x
  2. Step 2: Convert to fraction form
    4,562.37/6,843.55 = 1,099.62/x
  3. Step 3: Cross multiply
    4,562.37x = 6,843.55 × 1,099.62
  4. Step 4: Simplify right side
    4,562.37x = 7,525,304.45
  5. Step 5: Solve for x
    x = 7,525,304.45/4,562.37
  6. Step 6: Final answer
    x = 1,649.43

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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.