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Finding the Fourth Proportional to 5,921.94, 8,164.68 and 4,855.80

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Solution

The fourth proportional to 5,921.94, 8,164.68 and 4,855.80 is: 6,694.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921.94 : 8,164.68 = 4,855.80 : x
  2. Step 2: Convert to fraction form
    5,921.94/8,164.68 = 4,855.80/x
  3. Step 3: Cross multiply
    5,921.94x = 8,164.68 × 4,855.80
  4. Step 4: Simplify right side
    5,921.94x = 39,646,053.14
  5. Step 5: Solve for x
    x = 39,646,053.14/5,921.94
  6. Step 6: Final answer
    x = 6,694.77

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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.