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Finding the Fourth Proportional to 4,604.88, 6,906.16 and 1,317.99

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Solution

The fourth proportional to 4,604.88, 6,906.16 and 1,317.99 is: 1,976.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.88 : 6,906.16 = 1,317.99 : x
  2. Step 2: Convert to fraction form
    4,604.88/6,906.16 = 1,317.99/x
  3. Step 3: Cross multiply
    4,604.88x = 6,906.16 × 1,317.99
  4. Step 4: Simplify right side
    4,604.88x = 9,102,249.82
  5. Step 5: Solve for x
    x = 9,102,249.82/4,604.88
  6. Step 6: Final answer
    x = 1,976.65

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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.