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Finding the Fourth Proportional to 3,362, 4,639.68 and 1,964.72

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Solution

The fourth proportional to 3,362, 4,639.68 and 1,964.72 is: 2,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362 : 4,639.68 = 1,964.72 : x
  2. Step 2: Convert to fraction form
    3,362/4,639.68 = 1,964.72/x
  3. Step 3: Cross multiply
    3,362x = 4,639.68 × 1,964.72
  4. Step 4: Simplify right side
    3,362x = 9,115,672.09
  5. Step 5: Solve for x
    x = 9,115,672.09/3,362
  6. Step 6: Final answer
    x = 2,711.38

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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.