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Finding the Fourth Proportional to 3,456.36, 4,770.08 and 1,964.74

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Solution

The fourth proportional to 3,456.36, 4,770.08 and 1,964.74 is: 2,711.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.36 : 4,770.08 = 1,964.74 : x
  2. Step 2: Convert to fraction form
    3,456.36/4,770.08 = 1,964.74/x
  3. Step 3: Cross multiply
    3,456.36x = 4,770.08 × 1,964.74
  4. Step 4: Simplify right side
    3,456.36x = 9,371,966.98
  5. Step 5: Solve for x
    x = 9,371,966.98/3,456.36
  6. Step 6: Final answer
    x = 2,711.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.