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Finding the Fourth Proportional to 5,794.13, 8,695.76 and 2,099.93

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Solution

The fourth proportional to 5,794.13, 8,695.76 and 2,099.93 is: 3,151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.13 : 8,695.76 = 2,099.93 : x
  2. Step 2: Convert to fraction form
    5,794.13/8,695.76 = 2,099.93/x
  3. Step 3: Cross multiply
    5,794.13x = 8,695.76 × 2,099.93
  4. Step 4: Simplify right side
    5,794.13x = 18,260,433.32
  5. Step 5: Solve for x
    x = 18,260,433.32/5,794.13
  6. Step 6: Final answer
    x = 3,151.54

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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.