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Finding the Fourth Proportional to 5,891.94, 8,130.83 and 3,239.33

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Solution

The fourth proportional to 5,891.94, 8,130.83 and 3,239.33 is: 4,470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.94 : 8,130.83 = 3,239.33 : x
  2. Step 2: Convert to fraction form
    5,891.94/8,130.83 = 3,239.33/x
  3. Step 3: Cross multiply
    5,891.94x = 8,130.83 × 3,239.33
  4. Step 4: Simplify right side
    5,891.94x = 26,338,384.69
  5. Step 5: Solve for x
    x = 26,338,384.69/5,891.94
  6. Step 6: Final answer
    x = 4,470.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.