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Finding the Fourth Proportional to 4,532.26, 6,797.16 and 1,244.56

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Solution

The fourth proportional to 4,532.26, 6,797.16 and 1,244.56 is: 1,866.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.26 : 6,797.16 = 1,244.56 : x
  2. Step 2: Convert to fraction form
    4,532.26/6,797.16 = 1,244.56/x
  3. Step 3: Cross multiply
    4,532.26x = 6,797.16 × 1,244.56
  4. Step 4: Simplify right side
    4,532.26x = 8,459,473.45
  5. Step 5: Solve for x
    x = 8,459,473.45/4,532.26
  6. Step 6: Final answer
    x = 1,866.50

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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.