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Finding the Fourth Proportional to 3,537.86, 4,882.74 and 2,546.42

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Solution

The fourth proportional to 3,537.86, 4,882.74 and 2,546.42 is: 3,514.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.86 : 4,882.74 = 2,546.42 : x
  2. Step 2: Convert to fraction form
    3,537.86/4,882.74 = 2,546.42/x
  3. Step 3: Cross multiply
    3,537.86x = 4,882.74 × 2,546.42
  4. Step 4: Simplify right side
    3,537.86x = 12,433,506.79
  5. Step 5: Solve for x
    x = 12,433,506.79/3,537.86
  6. Step 6: Final answer
    x = 3,514.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.