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Finding the Fourth Proportional to 3,357.38, 4,632.94 and 1,865.22

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Solution

The fourth proportional to 3,357.38, 4,632.94 and 1,865.22 is: 2,573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.38 : 4,632.94 = 1,865.22 : x
  2. Step 2: Convert to fraction form
    3,357.38/4,632.94 = 1,865.22/x
  3. Step 3: Cross multiply
    3,357.38x = 4,632.94 × 1,865.22
  4. Step 4: Simplify right side
    3,357.38x = 8,641,452.35
  5. Step 5: Solve for x
    x = 8,641,452.35/3,357.38
  6. Step 6: Final answer
    x = 2,573.87

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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.