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Finding the Fourth Proportional to 3,533.28, 5,301.12 and 1,224.72

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Solution

The fourth proportional to 3,533.28, 5,301.12 and 1,224.72 is: 1,837.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.28 : 5,301.12 = 1,224.72 : x
  2. Step 2: Convert to fraction form
    3,533.28/5,301.12 = 1,224.72/x
  3. Step 3: Cross multiply
    3,533.28x = 5,301.12 × 1,224.72
  4. Step 4: Simplify right side
    3,533.28x = 6,492,387.69
  5. Step 5: Solve for x
    x = 6,492,387.69/3,533.28
  6. Step 6: Final answer
    x = 1,837.50

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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.