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Finding the Fourth Proportional to 3,576.24, 4,934.88 and 2,004

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Solution

The fourth proportional to 3,576.24, 4,934.88 and 2,004 is: 2,765.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,576.24 : 4,934.88 = 2,004 : x
  2. Step 2: Convert to fraction form
    3,576.24/4,934.88 = 2,004/x
  3. Step 3: Cross multiply
    3,576.24x = 4,934.88 × 2,004
  4. Step 4: Simplify right side
    3,576.24x = 9,889,499.52
  5. Step 5: Solve for x
    x = 9,889,499.52/3,576.24
  6. Step 6: Final answer
    x = 2,765.33

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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.