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Finding the Fourth Proportional to 5,834.23, 8,052.54 and 3,709.35

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Solution

The fourth proportional to 5,834.23, 8,052.54 and 3,709.35 is: 5,119.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.23 : 8,052.54 = 3,709.35 : x
  2. Step 2: Convert to fraction form
    5,834.23/8,052.54 = 3,709.35/x
  3. Step 3: Cross multiply
    5,834.23x = 8,052.54 × 3,709.35
  4. Step 4: Simplify right side
    5,834.23x = 29,869,689.25
  5. Step 5: Solve for x
    x = 29,869,689.25/5,834.23
  6. Step 6: Final answer
    x = 5,119.73

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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.