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Finding the Fourth Proportional to 3,456.71, 4,770.37 and 1,964.53

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Solution

The fourth proportional to 3,456.71, 4,770.37 and 1,964.53 is: 2,711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.71 : 4,770.37 = 1,964.53 : x
  2. Step 2: Convert to fraction form
    3,456.71/4,770.37 = 1,964.53/x
  3. Step 3: Cross multiply
    3,456.71x = 4,770.37 × 1,964.53
  4. Step 4: Simplify right side
    3,456.71x = 9,371,534.98
  5. Step 5: Solve for x
    x = 9,371,534.98/3,456.71
  6. Step 6: Final answer
    x = 2,711.11

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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.