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Finding the Fourth Proportional to 4,562.28, 6,843.36 and 1,099.50

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Solution

The fourth proportional to 4,562.28, 6,843.36 and 1,099.50 is: 1,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.28 : 6,843.36 = 1,099.50 : x
  2. Step 2: Convert to fraction form
    4,562.28/6,843.36 = 1,099.50/x
  3. Step 3: Cross multiply
    4,562.28x = 6,843.36 × 1,099.50
  4. Step 4: Simplify right side
    4,562.28x = 7,524,274.32
  5. Step 5: Solve for x
    x = 7,524,274.32/4,562.28
  6. Step 6: Final answer
    x = 1,649.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.