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Finding the Fourth Proportional to 4,172.86, 6,259.13 and 1,052.83

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Solution

The fourth proportional to 4,172.86, 6,259.13 and 1,052.83 is: 1,579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.86 : 6,259.13 = 1,052.83 : x
  2. Step 2: Convert to fraction form
    4,172.86/6,259.13 = 1,052.83/x
  3. Step 3: Cross multiply
    4,172.86x = 6,259.13 × 1,052.83
  4. Step 4: Simplify right side
    4,172.86x = 6,589,781.56
  5. Step 5: Solve for x
    x = 6,589,781.56/4,172.86
  6. Step 6: Final answer
    x = 1,579.20

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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.