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Finding the Fourth Proportional to 5,976.36, 8,964.99 and 1,593.72

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Solution

The fourth proportional to 5,976.36, 8,964.99 and 1,593.72 is: 2,390.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.36 : 8,964.99 = 1,593.72 : x
  2. Step 2: Convert to fraction form
    5,976.36/8,964.99 = 1,593.72/x
  3. Step 3: Cross multiply
    5,976.36x = 8,964.99 × 1,593.72
  4. Step 4: Simplify right side
    5,976.36x = 14,287,683.86
  5. Step 5: Solve for x
    x = 14,287,683.86/5,976.36
  6. Step 6: Final answer
    x = 2,390.70

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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.