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Finding the Fourth Proportional to 4,014.65, 6,023.49 and 1,821.87

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Solution

The fourth proportional to 4,014.65, 6,023.49 and 1,821.87 is: 2,733.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,014.65 : 6,023.49 = 1,821.87 : x
  2. Step 2: Convert to fraction form
    4,014.65/6,023.49 = 1,821.87/x
  3. Step 3: Cross multiply
    4,014.65x = 6,023.49 × 1,821.87
  4. Step 4: Simplify right side
    4,014.65x = 10,974,015.73
  5. Step 5: Solve for x
    x = 10,974,015.73/4,014.65
  6. Step 6: Final answer
    x = 2,733.50

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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.