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Finding the Fourth Proportional to 4,197.65, 5,793.82 and 2,430.27

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Solution

The fourth proportional to 4,197.65, 5,793.82 and 2,430.27 is: 3,354.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.65 : 5,793.82 = 2,430.27 : x
  2. Step 2: Convert to fraction form
    4,197.65/5,793.82 = 2,430.27/x
  3. Step 3: Cross multiply
    4,197.65x = 5,793.82 × 2,430.27
  4. Step 4: Simplify right side
    4,197.65x = 14,080,540.86
  5. Step 5: Solve for x
    x = 14,080,540.86/4,197.65
  6. Step 6: Final answer
    x = 3,354.39

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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.