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Finding the Fourth Proportional to 3,794.86, 5,689.60 and 1,452.89

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Solution

The fourth proportional to 3,794.86, 5,689.60 and 1,452.89 is: 2,178.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.86 : 5,689.60 = 1,452.89 : x
  2. Step 2: Convert to fraction form
    3,794.86/5,689.60 = 1,452.89/x
  3. Step 3: Cross multiply
    3,794.86x = 5,689.60 × 1,452.89
  4. Step 4: Simplify right side
    3,794.86x = 8,266,362.94
  5. Step 5: Solve for x
    x = 8,266,362.94/3,794.86
  6. Step 6: Final answer
    x = 2,178.31

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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.