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Finding the Fourth Proportional to 3,876.32, 5,813.94 and 1,684.77

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Solution

The fourth proportional to 3,876.32, 5,813.94 and 1,684.77 is: 2,526.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.32 : 5,813.94 = 1,684.77 : x
  2. Step 2: Convert to fraction form
    3,876.32/5,813.94 = 1,684.77/x
  3. Step 3: Cross multiply
    3,876.32x = 5,813.94 × 1,684.77
  4. Step 4: Simplify right side
    3,876.32x = 9,795,136.21
  5. Step 5: Solve for x
    x = 9,795,136.21/3,876.32
  6. Step 6: Final answer
    x = 2,526.91

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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.