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Finding the Fourth Proportional to 5,796.08, 8,689.44 and 2,330

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Solution

The fourth proportional to 5,796.08, 8,689.44 and 2,330 is: 3,493.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.08 : 8,689.44 = 2,330 : x
  2. Step 2: Convert to fraction form
    5,796.08/8,689.44 = 2,330/x
  3. Step 3: Cross multiply
    5,796.08x = 8,689.44 × 2,330
  4. Step 4: Simplify right side
    5,796.08x = 20,246,395.20
  5. Step 5: Solve for x
    x = 20,246,395.20/5,796.08
  6. Step 6: Final answer
    x = 3,493.12

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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.