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Finding the Fourth Proportional to 5,813.15, 8,020.74 and 3,687.90

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Solution

The fourth proportional to 5,813.15, 8,020.74 and 3,687.90 is: 5,088.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.15 : 8,020.74 = 3,687.90 : x
  2. Step 2: Convert to fraction form
    5,813.15/8,020.74 = 3,687.90/x
  3. Step 3: Cross multiply
    5,813.15x = 8,020.74 × 3,687.90
  4. Step 4: Simplify right side
    5,813.15x = 29,579,703.29
  5. Step 5: Solve for x
    x = 29,579,703.29/5,813.15
  6. Step 6: Final answer
    x = 5,088.42

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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.