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Finding the Fourth Proportional to 3,224.77, 4,837.86 and 1,033.72

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Solution

The fourth proportional to 3,224.77, 4,837.86 and 1,033.72 is: 1,550.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.77 : 4,837.86 = 1,033.72 : x
  2. Step 2: Convert to fraction form
    3,224.77/4,837.86 = 1,033.72/x
  3. Step 3: Cross multiply
    3,224.77x = 4,837.86 × 1,033.72
  4. Step 4: Simplify right side
    3,224.77x = 5,000,968.45
  5. Step 5: Solve for x
    x = 5,000,968.45/3,224.77
  6. Step 6: Final answer
    x = 1,550.80

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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.