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Finding the Fourth Proportional to 3,827.67, 5,737.86 and 1,852.08

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Solution

The fourth proportional to 3,827.67, 5,737.86 and 1,852.08 is: 2,776.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.67 : 5,737.86 = 1,852.08 : x
  2. Step 2: Convert to fraction form
    3,827.67/5,737.86 = 1,852.08/x
  3. Step 3: Cross multiply
    3,827.67x = 5,737.86 × 1,852.08
  4. Step 4: Simplify right side
    3,827.67x = 10,626,975.75
  5. Step 5: Solve for x
    x = 10,626,975.75/3,827.67
  6. Step 6: Final answer
    x = 2,776.36

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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.