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Finding the Fourth Proportional to 5,796.94, 8,696.01 and 2,098.30

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Solution

The fourth proportional to 5,796.94, 8,696.01 and 2,098.30 is: 3,147.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.94 : 8,696.01 = 2,098.30 : x
  2. Step 2: Convert to fraction form
    5,796.94/8,696.01 = 2,098.30/x
  3. Step 3: Cross multiply
    5,796.94x = 8,696.01 × 2,098.30
  4. Step 4: Simplify right side
    5,796.94x = 18,246,837.78
  5. Step 5: Solve for x
    x = 18,246,837.78/5,796.94
  6. Step 6: Final answer
    x = 3,147.67

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1.5x scale

Why These Related Problems?

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