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Finding the Fourth Proportional to 5,208.99, 7,794.27 and 4,619.31

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Solution

The fourth proportional to 5,208.99, 7,794.27 and 4,619.31 is: 6,911.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.99 : 7,794.27 = 4,619.31 : x
  2. Step 2: Convert to fraction form
    5,208.99/7,794.27 = 4,619.31/x
  3. Step 3: Cross multiply
    5,208.99x = 7,794.27 × 4,619.31
  4. Step 4: Simplify right side
    5,208.99x = 36,004,149.35
  5. Step 5: Solve for x
    x = 36,004,149.35/5,208.99
  6. Step 6: Final answer
    x = 6,911.93

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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.