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Finding the Fourth Proportional to 5,703.06, 8,555.73 and 2,781.42

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Solution

The fourth proportional to 5,703.06, 8,555.73 and 2,781.42 is: 4,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.06 : 8,555.73 = 2,781.42 : x
  2. Step 2: Convert to fraction form
    5,703.06/8,555.73 = 2,781.42/x
  3. Step 3: Cross multiply
    5,703.06x = 8,555.73 × 2,781.42
  4. Step 4: Simplify right side
    5,703.06x = 23,797,078.54
  5. Step 5: Solve for x
    x = 23,797,078.54/5,703.06
  6. Step 6: Final answer
    x = 4,172.69

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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.