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Finding the Fourth Proportional to 5,834.36, 8,746.14 and 2,326.62

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Solution

The fourth proportional to 5,834.36, 8,746.14 and 2,326.62 is: 3,487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.36 : 8,746.14 = 2,326.62 : x
  2. Step 2: Convert to fraction form
    5,834.36/8,746.14 = 2,326.62/x
  3. Step 3: Cross multiply
    5,834.36x = 8,746.14 × 2,326.62
  4. Step 4: Simplify right side
    5,834.36x = 20,348,944.25
  5. Step 5: Solve for x
    x = 20,348,944.25/5,834.36
  6. Step 6: Final answer
    x = 3,487.78

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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.