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Finding the Fourth Proportional to 3,805.70, 5,709.85 and 2,050.89

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Solution

The fourth proportional to 3,805.70, 5,709.85 and 2,050.89 is: 3,077.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.70 : 5,709.85 = 2,050.89 : x
  2. Step 2: Convert to fraction form
    3,805.70/5,709.85 = 2,050.89/x
  3. Step 3: Cross multiply
    3,805.70x = 5,709.85 × 2,050.89
  4. Step 4: Simplify right side
    3,805.70x = 11,710,274.27
  5. Step 5: Solve for x
    x = 11,710,274.27/3,805.70
  6. Step 6: Final answer
    x = 3,077.04

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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.