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Finding the Fourth Proportional to 5,827.82, 8,036.96 and 3,834.91

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Solution

The fourth proportional to 5,827.82, 8,036.96 and 3,834.91 is: 5,288.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.82 : 8,036.96 = 3,834.91 : x
  2. Step 2: Convert to fraction form
    5,827.82/8,036.96 = 3,834.91/x
  3. Step 3: Cross multiply
    5,827.82x = 8,036.96 × 3,834.91
  4. Step 4: Simplify right side
    5,827.82x = 30,821,009.15
  5. Step 5: Solve for x
    x = 30,821,009.15/5,827.82
  6. Step 6: Final answer
    x = 5,288.60

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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.