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Finding the Fourth Proportional to 5,837.42, 8,052.86 and 3,949.65

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Solution

The fourth proportional to 5,837.42, 8,052.86 and 3,949.65 is: 5,448.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.42 : 8,052.86 = 3,949.65 : x
  2. Step 2: Convert to fraction form
    5,837.42/8,052.86 = 3,949.65/x
  3. Step 3: Cross multiply
    5,837.42x = 8,052.86 × 3,949.65
  4. Step 4: Simplify right side
    5,837.42x = 31,805,988.37
  5. Step 5: Solve for x
    x = 31,805,988.37/5,837.42
  6. Step 6: Final answer
    x = 5,448.64

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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.