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Finding the Fourth Proportional to 5,857.64, 8,081.22 and 4,178.60

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Solution

The fourth proportional to 5,857.64, 8,081.22 and 4,178.60 is: 5,764.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.64 : 8,081.22 = 4,178.60 : x
  2. Step 2: Convert to fraction form
    5,857.64/8,081.22 = 4,178.60/x
  3. Step 3: Cross multiply
    5,857.64x = 8,081.22 × 4,178.60
  4. Step 4: Simplify right side
    5,857.64x = 33,768,185.89
  5. Step 5: Solve for x
    x = 33,768,185.89/5,857.64
  6. Step 6: Final answer
    x = 5,764.81

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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.