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Finding the Fourth Proportional to 3,533.13, 5,300.63 and 1,224.63

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Solution

The fourth proportional to 3,533.13, 5,300.63 and 1,224.63 is: 1,837.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.13 : 5,300.63 = 1,224.63 : x
  2. Step 2: Convert to fraction form
    3,533.13/5,300.63 = 1,224.63/x
  3. Step 3: Cross multiply
    3,533.13x = 5,300.63 × 1,224.63
  4. Step 4: Simplify right side
    3,533.13x = 6,491,310.52
  5. Step 5: Solve for x
    x = 6,491,310.52/3,533.13
  6. Step 6: Final answer
    x = 1,837.27

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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.