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Finding the Fourth Proportional to 5,797.02, 8,696.74 and 2,874.94

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Solution

The fourth proportional to 5,797.02, 8,696.74 and 2,874.94 is: 4,313.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.02 : 8,696.74 = 2,874.94 : x
  2. Step 2: Convert to fraction form
    5,797.02/8,696.74 = 2,874.94/x
  3. Step 3: Cross multiply
    5,797.02x = 8,696.74 × 2,874.94
  4. Step 4: Simplify right side
    5,797.02x = 25,002,605.70
  5. Step 5: Solve for x
    x = 25,002,605.70/5,797.02
  6. Step 6: Final answer
    x = 4,313.01

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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.