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Finding the Fourth Proportional to 3,820.17, 5,731.07 and 1,187.62

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Solution

The fourth proportional to 3,820.17, 5,731.07 and 1,187.62 is: 1,781.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.17 : 5,731.07 = 1,187.62 : x
  2. Step 2: Convert to fraction form
    3,820.17/5,731.07 = 1,187.62/x
  3. Step 3: Cross multiply
    3,820.17x = 5,731.07 × 1,187.62
  4. Step 4: Simplify right side
    3,820.17x = 6,806,333.35
  5. Step 5: Solve for x
    x = 6,806,333.35/3,820.17
  6. Step 6: Final answer
    x = 1,781.68

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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.