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Finding the Fourth Proportional to 3,576.35, 4,935.65 and 1,983.15

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Solution

The fourth proportional to 3,576.35, 4,935.65 and 1,983.15 is: 2,736.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,576.35 : 4,935.65 = 1,983.15 : x
  2. Step 2: Convert to fraction form
    3,576.35/4,935.65 = 1,983.15/x
  3. Step 3: Cross multiply
    3,576.35x = 4,935.65 × 1,983.15
  4. Step 4: Simplify right side
    3,576.35x = 9,788,124.38
  5. Step 5: Solve for x
    x = 9,788,124.38/3,576.35
  6. Step 6: Final answer
    x = 2,736.91

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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.