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Finding the Fourth Proportional to 4,509.56, 6,764.30 and 1,222.96

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Solution

The fourth proportional to 4,509.56, 6,764.30 and 1,222.96 is: 1,834.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.56 : 6,764.30 = 1,222.96 : x
  2. Step 2: Convert to fraction form
    4,509.56/6,764.30 = 1,222.96/x
  3. Step 3: Cross multiply
    4,509.56x = 6,764.30 × 1,222.96
  4. Step 4: Simplify right side
    4,509.56x = 8,272,468.33
  5. Step 5: Solve for x
    x = 8,272,468.33/4,509.56
  6. Step 6: Final answer
    x = 1,834.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.