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Finding the Fourth Proportional to 3,576.84, 4,935.11 and 2,064.03

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Solution

The fourth proportional to 3,576.84, 4,935.11 and 2,064.03 is: 2,847.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,576.84 : 4,935.11 = 2,064.03 : x
  2. Step 2: Convert to fraction form
    3,576.84/4,935.11 = 2,064.03/x
  3. Step 3: Cross multiply
    3,576.84x = 4,935.11 × 2,064.03
  4. Step 4: Simplify right side
    3,576.84x = 10,186,204.77
  5. Step 5: Solve for x
    x = 10,186,204.77/3,576.84
  6. Step 6: Final answer
    x = 2,847.82

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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.