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Finding the Fourth Proportional to 5,694.93, 7,858.83 and 3,177.03

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Solution

The fourth proportional to 5,694.93, 7,858.83 and 3,177.03 is: 4,384.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.93 : 7,858.83 = 3,177.03 : x
  2. Step 2: Convert to fraction form
    5,694.93/7,858.83 = 3,177.03/x
  3. Step 3: Cross multiply
    5,694.93x = 7,858.83 × 3,177.03
  4. Step 4: Simplify right side
    5,694.93x = 24,967,738.67
  5. Step 5: Solve for x
    x = 24,967,738.67/5,694.93
  6. Step 6: Final answer
    x = 4,384.20

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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.