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Finding the Fourth Proportional to 3,818.11, 5,729.10 and 1,737.83

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Solution

The fourth proportional to 3,818.11, 5,729.10 and 1,737.83 is: 2,607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.11 : 5,729.10 = 1,737.83 : x
  2. Step 2: Convert to fraction form
    3,818.11/5,729.10 = 1,737.83/x
  3. Step 3: Cross multiply
    3,818.11x = 5,729.10 × 1,737.83
  4. Step 4: Simplify right side
    3,818.11x = 9,956,208.21
  5. Step 5: Solve for x
    x = 9,956,208.21/3,818.11
  6. Step 6: Final answer
    x = 2,607.63

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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.