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Finding the Fourth Proportional to 4,494.41, 6,743.76 and 2,029.99

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Solution

The fourth proportional to 4,494.41, 6,743.76 and 2,029.99 is: 3,045.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.41 : 6,743.76 = 2,029.99 : x
  2. Step 2: Convert to fraction form
    4,494.41/6,743.76 = 2,029.99/x
  3. Step 3: Cross multiply
    4,494.41x = 6,743.76 × 2,029.99
  4. Step 4: Simplify right side
    4,494.41x = 13,689,765.36
  5. Step 5: Solve for x
    x = 13,689,765.36/4,494.41
  6. Step 6: Final answer
    x = 3,045.95

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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.