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Finding the Fourth Proportional to 5,118.41, 7,672.82 and 4,661.91

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Solution

The fourth proportional to 5,118.41, 7,672.82 and 4,661.91 is: 6,988.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.41 : 7,672.82 = 4,661.91 : x
  2. Step 2: Convert to fraction form
    5,118.41/7,672.82 = 4,661.91/x
  3. Step 3: Cross multiply
    5,118.41x = 7,672.82 × 4,661.91
  4. Step 4: Simplify right side
    5,118.41x = 35,769,972.98
  5. Step 5: Solve for x
    x = 35,769,972.98/5,118.41
  6. Step 6: Final answer
    x = 6,988.50

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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.