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Finding the Fourth Proportional to 3,172.72, 4,759.08 and 1,853.24

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Solution

The fourth proportional to 3,172.72, 4,759.08 and 1,853.24 is: 2,779.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.72 : 4,759.08 = 1,853.24 : x
  2. Step 2: Convert to fraction form
    3,172.72/4,759.08 = 1,853.24/x
  3. Step 3: Cross multiply
    3,172.72x = 4,759.08 × 1,853.24
  4. Step 4: Simplify right side
    3,172.72x = 8,819,717.42
  5. Step 5: Solve for x
    x = 8,819,717.42/3,172.72
  6. Step 6: Final answer
    x = 2,779.86

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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.