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Finding the Fourth Proportional to 4,689.38, 6,485.31 and 4,191.23

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Solution

The fourth proportional to 4,689.38, 6,485.31 and 4,191.23 is: 5,796.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.38 : 6,485.31 = 4,191.23 : x
  2. Step 2: Convert to fraction form
    4,689.38/6,485.31 = 4,191.23/x
  3. Step 3: Cross multiply
    4,689.38x = 6,485.31 × 4,191.23
  4. Step 4: Simplify right side
    4,689.38x = 27,181,425.83
  5. Step 5: Solve for x
    x = 27,181,425.83/4,689.38
  6. Step 6: Final answer
    x = 5,796.38

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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.