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Finding the Fourth Proportional to 4,507.26, 6,759.48 and 1,586.68

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Solution

The fourth proportional to 4,507.26, 6,759.48 and 1,586.68 is: 2,379.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.26 : 6,759.48 = 1,586.68 : x
  2. Step 2: Convert to fraction form
    4,507.26/6,759.48 = 1,586.68/x
  3. Step 3: Cross multiply
    4,507.26x = 6,759.48 × 1,586.68
  4. Step 4: Simplify right side
    4,507.26x = 10,725,131.73
  5. Step 5: Solve for x
    x = 10,725,131.73/4,507.26
  6. Step 6: Final answer
    x = 2,379.52

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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.