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Finding the Fourth Proportional to 4,638.98, 6,969.87 and 2,973.82

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Solution

The fourth proportional to 4,638.98, 6,969.87 and 2,973.82 is: 4,468.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.98 : 6,969.87 = 2,973.82 : x
  2. Step 2: Convert to fraction form
    4,638.98/6,969.87 = 2,973.82/x
  3. Step 3: Cross multiply
    4,638.98x = 6,969.87 × 2,973.82
  4. Step 4: Simplify right side
    4,638.98x = 20,727,121.38
  5. Step 5: Solve for x
    x = 20,727,121.38/4,638.98
  6. Step 6: Final answer
    x = 4,468.04

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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.