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Finding the Fourth Proportional to 3,898.70, 5,851.16 and 2,050.90

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Solution

The fourth proportional to 3,898.70, 5,851.16 and 2,050.90 is: 3,077.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.70 : 5,851.16 = 2,050.90 : x
  2. Step 2: Convert to fraction form
    3,898.70/5,851.16 = 2,050.90/x
  3. Step 3: Cross multiply
    3,898.70x = 5,851.16 × 2,050.90
  4. Step 4: Simplify right side
    3,898.70x = 12,000,144.04
  5. Step 5: Solve for x
    x = 12,000,144.04/3,898.70
  6. Step 6: Final answer
    x = 3,077.99

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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.