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Finding the Fourth Proportional to 4,061.70, 6,057.90 and 3,991.50

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Solution

The fourth proportional to 4,061.70, 6,057.90 and 3,991.50 is: 5,953.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061.70 : 6,057.90 = 3,991.50 : x
  2. Step 2: Convert to fraction form
    4,061.70/6,057.90 = 3,991.50/x
  3. Step 3: Cross multiply
    4,061.70x = 6,057.90 × 3,991.50
  4. Step 4: Simplify right side
    4,061.70x = 24,180,107.85
  5. Step 5: Solve for x
    x = 24,180,107.85/4,061.70
  6. Step 6: Final answer
    x = 5,953.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.