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Finding the Fourth Proportional to 5,976.56, 8,953 and 4,097.83

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Solution

The fourth proportional to 5,976.56, 8,953 and 4,097.83 is: 6,138.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.56 : 8,953 = 4,097.83 : x
  2. Step 2: Convert to fraction form
    5,976.56/8,953 = 4,097.83/x
  3. Step 3: Cross multiply
    5,976.56x = 8,953 × 4,097.83
  4. Step 4: Simplify right side
    5,976.56x = 36,687,871.99
  5. Step 5: Solve for x
    x = 36,687,871.99/5,976.56
  6. Step 6: Final answer
    x = 6,138.63

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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.