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Finding the Fourth Proportional to 3,823.61, 5,737.57 and 2,068.61

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Solution

The fourth proportional to 3,823.61, 5,737.57 and 2,068.61 is: 3,104.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.61 : 5,737.57 = 2,068.61 : x
  2. Step 2: Convert to fraction form
    3,823.61/5,737.57 = 2,068.61/x
  3. Step 3: Cross multiply
    3,823.61x = 5,737.57 × 2,068.61
  4. Step 4: Simplify right side
    3,823.61x = 11,868,760.82
  5. Step 5: Solve for x
    x = 11,868,760.82/3,823.61
  6. Step 6: Final answer
    x = 3,104.08

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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.