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Finding the Fourth Proportional to 5,857.38, 8,786.88 and 2,164.77

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Solution

The fourth proportional to 5,857.38, 8,786.88 and 2,164.77 is: 3,247.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.38 : 8,786.88 = 2,164.77 : x
  2. Step 2: Convert to fraction form
    5,857.38/8,786.88 = 2,164.77/x
  3. Step 3: Cross multiply
    5,857.38x = 8,786.88 × 2,164.77
  4. Step 4: Simplify right side
    5,857.38x = 19,021,574.22
  5. Step 5: Solve for x
    x = 19,021,574.22/5,857.38
  6. Step 6: Final answer
    x = 3,247.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.