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Finding the Fourth Proportional to 3,576.58, 4,935.64 and 2,004.64

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Solution

The fourth proportional to 3,576.58, 4,935.64 and 2,004.64 is: 2,766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,576.58 : 4,935.64 = 2,004.64 : x
  2. Step 2: Convert to fraction form
    3,576.58/4,935.64 = 2,004.64/x
  3. Step 3: Cross multiply
    3,576.58x = 4,935.64 × 2,004.64
  4. Step 4: Simplify right side
    3,576.58x = 9,894,181.37
  5. Step 5: Solve for x
    x = 9,894,181.37/3,576.58
  6. Step 6: Final answer
    x = 2,766.38

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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.