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Finding the Fourth Proportional to 4,702.25, 6,474.33 and 3,992.63

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Solution

The fourth proportional to 4,702.25, 6,474.33 and 3,992.63 is: 5,497.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.25 : 6,474.33 = 3,992.63 : x
  2. Step 2: Convert to fraction form
    4,702.25/6,474.33 = 3,992.63/x
  3. Step 3: Cross multiply
    4,702.25x = 6,474.33 × 3,992.63
  4. Step 4: Simplify right side
    4,702.25x = 25,849,571.82
  5. Step 5: Solve for x
    x = 25,849,571.82/4,702.25
  6. Step 6: Final answer
    x = 5,497.27

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