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Finding the Fourth Proportional to 4,661.34, 6,990.50 and 1,540.62

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Solution

The fourth proportional to 4,661.34, 6,990.50 and 1,540.62 is: 2,310.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.34 : 6,990.50 = 1,540.62 : x
  2. Step 2: Convert to fraction form
    4,661.34/6,990.50 = 1,540.62/x
  3. Step 3: Cross multiply
    4,661.34x = 6,990.50 × 1,540.62
  4. Step 4: Simplify right side
    4,661.34x = 10,769,704.11
  5. Step 5: Solve for x
    x = 10,769,704.11/4,661.34
  6. Step 6: Final answer
    x = 2,310.43

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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.