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Finding the Fourth Proportional to 3,766.02, 5,641.74 and 2,896.08

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Solution

The fourth proportional to 3,766.02, 5,641.74 and 2,896.08 is: 4,338.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.02 : 5,641.74 = 2,896.08 : x
  2. Step 2: Convert to fraction form
    3,766.02/5,641.74 = 2,896.08/x
  3. Step 3: Cross multiply
    3,766.02x = 5,641.74 × 2,896.08
  4. Step 4: Simplify right side
    3,766.02x = 16,338,930.38
  5. Step 5: Solve for x
    x = 16,338,930.38/3,766.02
  6. Step 6: Final answer
    x = 4,338.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.