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Finding the Fourth Proportional to 4,689.41, 6,474.33 and 3,011.49

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Solution

The fourth proportional to 4,689.41, 6,474.33 and 3,011.49 is: 4,157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.41 : 6,474.33 = 3,011.49 : x
  2. Step 2: Convert to fraction form
    4,689.41/6,474.33 = 3,011.49/x
  3. Step 3: Cross multiply
    4,689.41x = 6,474.33 × 3,011.49
  4. Step 4: Simplify right side
    4,689.41x = 19,497,380.05
  5. Step 5: Solve for x
    x = 19,497,380.05/4,689.41
  6. Step 6: Final answer
    x = 4,157.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.