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Finding the Fourth Proportional to 3,617.86, 4,992.33 and 2,045.86

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Solution

The fourth proportional to 3,617.86, 4,992.33 and 2,045.86 is: 2,823.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.86 : 4,992.33 = 2,045.86 : x
  2. Step 2: Convert to fraction form
    3,617.86/4,992.33 = 2,045.86/x
  3. Step 3: Cross multiply
    3,617.86x = 4,992.33 × 2,045.86
  4. Step 4: Simplify right side
    3,617.86x = 10,213,608.25
  5. Step 5: Solve for x
    x = 10,213,608.25/3,617.86
  6. Step 6: Final answer
    x = 2,823.11

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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.