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Finding the Fourth Proportional to 3,554.71, 4,905.63 and 1,983.11

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Solution

The fourth proportional to 3,554.71, 4,905.63 and 1,983.11 is: 2,736.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,554.71 : 4,905.63 = 1,983.11 : x
  2. Step 2: Convert to fraction form
    3,554.71/4,905.63 = 1,983.11/x
  3. Step 3: Cross multiply
    3,554.71x = 4,905.63 × 1,983.11
  4. Step 4: Simplify right side
    3,554.71x = 9,728,379.38
  5. Step 5: Solve for x
    x = 9,728,379.38/3,554.71
  6. Step 6: Final answer
    x = 2,736.76

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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.