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Finding the Fourth Proportional to 4,016.77, 6,025.14 and 1,825.67

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Solution

The fourth proportional to 4,016.77, 6,025.14 and 1,825.67 is: 2,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,016.77 : 6,025.14 = 1,825.67 : x
  2. Step 2: Convert to fraction form
    4,016.77/6,025.14 = 1,825.67/x
  3. Step 3: Cross multiply
    4,016.77x = 6,025.14 × 1,825.67
  4. Step 4: Simplify right side
    4,016.77x = 10,999,932.41
  5. Step 5: Solve for x
    x = 10,999,932.41/4,016.77
  6. Step 6: Final answer
    x = 2,738.50

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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.