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Finding the Fourth Proportional to 4,172.64, 6,259.67 and 1,399.57

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Solution

The fourth proportional to 4,172.64, 6,259.67 and 1,399.57 is: 2,099.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.64 : 6,259.67 = 1,399.57 : x
  2. Step 2: Convert to fraction form
    4,172.64/6,259.67 = 1,399.57/x
  3. Step 3: Cross multiply
    4,172.64x = 6,259.67 × 1,399.57
  4. Step 4: Simplify right side
    4,172.64x = 8,760,846.34
  5. Step 5: Solve for x
    x = 8,760,846.34/4,172.64
  6. Step 6: Final answer
    x = 2,099.59

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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.