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Finding the Fourth Proportional to 4,643.73, 6,974.71 and 3,605.82

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Solution

The fourth proportional to 4,643.73, 6,974.71 and 3,605.82 is: 5,415.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.73 : 6,974.71 = 3,605.82 : x
  2. Step 2: Convert to fraction form
    4,643.73/6,974.71 = 3,605.82/x
  3. Step 3: Cross multiply
    4,643.73x = 6,974.71 × 3,605.82
  4. Step 4: Simplify right side
    4,643.73x = 25,149,513.64
  5. Step 5: Solve for x
    x = 25,149,513.64/4,643.73
  6. Step 6: Final answer
    x = 5,415.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.