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Finding the Fourth Proportional to 3,817.89, 5,726.10 and 1,184.91

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Solution

The fourth proportional to 3,817.89, 5,726.10 and 1,184.91 is: 1,777.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.89 : 5,726.10 = 1,184.91 : x
  2. Step 2: Convert to fraction form
    3,817.89/5,726.10 = 1,184.91/x
  3. Step 3: Cross multiply
    3,817.89x = 5,726.10 × 1,184.91
  4. Step 4: Simplify right side
    3,817.89x = 6,784,913.15
  5. Step 5: Solve for x
    x = 6,784,913.15/3,817.89
  6. Step 6: Final answer
    x = 1,777.14

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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.