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Finding the Fourth Proportional to 5,834.29, 8,051.14 and 3,181.75

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Solution

The fourth proportional to 5,834.29, 8,051.14 and 3,181.75 is: 4,390.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.29 : 8,051.14 = 3,181.75 : x
  2. Step 2: Convert to fraction form
    5,834.29/8,051.14 = 3,181.75/x
  3. Step 3: Cross multiply
    5,834.29x = 8,051.14 × 3,181.75
  4. Step 4: Simplify right side
    5,834.29x = 25,616,714.70
  5. Step 5: Solve for x
    x = 25,616,714.70/5,834.29
  6. Step 6: Final answer
    x = 4,390.72

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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.