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Finding the Fourth Proportional to 5,890.25, 8,834.30 and 2,380.12

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Solution

The fourth proportional to 5,890.25, 8,834.30 and 2,380.12 is: 3,569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.25 : 8,834.30 = 2,380.12 : x
  2. Step 2: Convert to fraction form
    5,890.25/8,834.30 = 2,380.12/x
  3. Step 3: Cross multiply
    5,890.25x = 8,834.30 × 2,380.12
  4. Step 4: Simplify right side
    5,890.25x = 21,026,669.06
  5. Step 5: Solve for x
    x = 21,026,669.06/5,890.25
  6. Step 6: Final answer
    x = 3,569.74

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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.