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Finding the Fourth Proportional to 4,702.94, 6,475.26 and 3,993.38

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Solution

The fourth proportional to 4,702.94, 6,475.26 and 3,993.38 is: 5,498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.94 : 6,475.26 = 3,993.38 : x
  2. Step 2: Convert to fraction form
    4,702.94/6,475.26 = 3,993.38/x
  3. Step 3: Cross multiply
    4,702.94x = 6,475.26 × 3,993.38
  4. Step 4: Simplify right side
    4,702.94x = 25,858,173.78
  5. Step 5: Solve for x
    x = 25,858,173.78/4,702.94
  6. Step 6: Final answer
    x = 5,498.30

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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.