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Finding the Fourth Proportional to 5,192.61, 7,781.03 and 3,806.87

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Solution

The fourth proportional to 5,192.61, 7,781.03 and 3,806.87 is: 5,704.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.61 : 7,781.03 = 3,806.87 : x
  2. Step 2: Convert to fraction form
    5,192.61/7,781.03 = 3,806.87/x
  3. Step 3: Cross multiply
    5,192.61x = 7,781.03 × 3,806.87
  4. Step 4: Simplify right side
    5,192.61x = 29,621,326.01
  5. Step 5: Solve for x
    x = 29,621,326.01/5,192.61
  6. Step 6: Final answer
    x = 5,704.52

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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.