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Finding the Fourth Proportional to 4,890.14, 6,748.43 and 2,874.92

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Solution

The fourth proportional to 4,890.14, 6,748.43 and 2,874.92 is: 3,967.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,890.14 : 6,748.43 = 2,874.92 : x
  2. Step 2: Convert to fraction form
    4,890.14/6,748.43 = 2,874.92/x
  3. Step 3: Cross multiply
    4,890.14x = 6,748.43 × 2,874.92
  4. Step 4: Simplify right side
    4,890.14x = 19,401,196.38
  5. Step 5: Solve for x
    x = 19,401,196.38/4,890.14
  6. Step 6: Final answer
    x = 3,967.41

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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.