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Finding the Fourth Proportional to 5,813.26, 8,017.05 and 3,823.12

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Solution

The fourth proportional to 5,813.26, 8,017.05 and 3,823.12 is: 5,272.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.26 : 8,017.05 = 3,823.12 : x
  2. Step 2: Convert to fraction form
    5,813.26/8,017.05 = 3,823.12/x
  3. Step 3: Cross multiply
    5,813.26x = 8,017.05 × 3,823.12
  4. Step 4: Simplify right side
    5,813.26x = 30,650,144.20
  5. Step 5: Solve for x
    x = 30,650,144.20/5,813.26
  6. Step 6: Final answer
    x = 5,272.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.