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Finding the Fourth Proportional to 5,796.77, 8,695.35 and 2,098.31

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Solution

The fourth proportional to 5,796.77, 8,695.35 and 2,098.31 is: 3,147.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.77 : 8,695.35 = 2,098.31 : x
  2. Step 2: Convert to fraction form
    5,796.77/8,695.35 = 2,098.31/x
  3. Step 3: Cross multiply
    5,796.77x = 8,695.35 × 2,098.31
  4. Step 4: Simplify right side
    5,796.77x = 18,245,496.38
  5. Step 5: Solve for x
    x = 18,245,496.38/5,796.77
  6. Step 6: Final answer
    x = 3,147.53

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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.