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Finding the Fourth Proportional to 4,509.54, 6,764.31 and 3,115.26

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Solution

The fourth proportional to 4,509.54, 6,764.31 and 3,115.26 is: 4,672.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.54 : 6,764.31 = 3,115.26 : x
  2. Step 2: Convert to fraction form
    4,509.54/6,764.31 = 3,115.26/x
  3. Step 3: Cross multiply
    4,509.54x = 6,764.31 × 3,115.26
  4. Step 4: Simplify right side
    4,509.54x = 21,072,584.37
  5. Step 5: Solve for x
    x = 21,072,584.37/4,509.54
  6. Step 6: Final answer
    x = 4,672.89

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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.