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Finding the Fourth Proportional to 4,012.77, 6,015.49 and 2,711.50

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Solution

The fourth proportional to 4,012.77, 6,015.49 and 2,711.50 is: 4,064.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,012.77 : 6,015.49 = 2,711.50 : x
  2. Step 2: Convert to fraction form
    4,012.77/6,015.49 = 2,711.50/x
  3. Step 3: Cross multiply
    4,012.77x = 6,015.49 × 2,711.50
  4. Step 4: Simplify right side
    4,012.77x = 16,311,001.14
  5. Step 5: Solve for x
    x = 16,311,001.14/4,012.77
  6. Step 6: Final answer
    x = 4,064.77

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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.