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Finding the Fourth Proportional to 5,813.08, 8,023.20 and 3,454.76

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Solution

The fourth proportional to 5,813.08, 8,023.20 and 3,454.76 is: 4,768.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.08 : 8,023.20 = 3,454.76 : x
  2. Step 2: Convert to fraction form
    5,813.08/8,023.20 = 3,454.76/x
  3. Step 3: Cross multiply
    5,813.08x = 8,023.20 × 3,454.76
  4. Step 4: Simplify right side
    5,813.08x = 27,718,230.43
  5. Step 5: Solve for x
    x = 27,718,230.43/5,813.08
  6. Step 6: Final answer
    x = 4,768.25

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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.