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Finding the Fourth Proportional to 3,362.72, 4,638.26 and 1,965.47

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Solution

The fourth proportional to 3,362.72, 4,638.26 and 1,965.47 is: 2,711.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.72 : 4,638.26 = 1,965.47 : x
  2. Step 2: Convert to fraction form
    3,362.72/4,638.26 = 1,965.47/x
  3. Step 3: Cross multiply
    3,362.72x = 4,638.26 × 1,965.47
  4. Step 4: Simplify right side
    3,362.72x = 9,116,342.60
  5. Step 5: Solve for x
    x = 9,116,342.60/3,362.72
  6. Step 6: Final answer
    x = 2,711.01

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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.