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Finding the Fourth Proportional to 4,259.72, 6,375.74 and 3,669.23

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Solution

The fourth proportional to 4,259.72, 6,375.74 and 3,669.23 is: 5,491.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259.72 : 6,375.74 = 3,669.23 : x
  2. Step 2: Convert to fraction form
    4,259.72/6,375.74 = 3,669.23/x
  3. Step 3: Cross multiply
    4,259.72x = 6,375.74 × 3,669.23
  4. Step 4: Simplify right side
    4,259.72x = 23,394,054.07
  5. Step 5: Solve for x
    x = 23,394,054.07/4,259.72
  6. Step 6: Final answer
    x = 5,491.92

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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.