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Finding the Fourth Proportional to 6,429.07, 8,875.99 and 4,194.82

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Solution

The fourth proportional to 6,429.07, 8,875.99 and 4,194.82 is: 5,791.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.07 : 8,875.99 = 4,194.82 : x
  2. Step 2: Convert to fraction form
    6,429.07/8,875.99 = 4,194.82/x
  3. Step 3: Cross multiply
    6,429.07x = 8,875.99 × 4,194.82
  4. Step 4: Simplify right side
    6,429.07x = 37,233,180.37
  5. Step 5: Solve for x
    x = 37,233,180.37/6,429.07
  6. Step 6: Final answer
    x = 5,791.38

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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.