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Finding the Fourth Proportional to 4,509.28, 6,764.40 and 1,222.24

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Solution

The fourth proportional to 4,509.28, 6,764.40 and 1,222.24 is: 1,833.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.28 : 6,764.40 = 1,222.24 : x
  2. Step 2: Convert to fraction form
    4,509.28/6,764.40 = 1,222.24/x
  3. Step 3: Cross multiply
    4,509.28x = 6,764.40 × 1,222.24
  4. Step 4: Simplify right side
    4,509.28x = 8,267,720.26
  5. Step 5: Solve for x
    x = 8,267,720.26/4,509.28
  6. Step 6: Final answer
    x = 1,833.49

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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.