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Finding the Fourth Proportional to 4,659.86, 6,990 and 1,540.04

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Solution

The fourth proportional to 4,659.86, 6,990 and 1,540.04 is: 2,310.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.86 : 6,990 = 1,540.04 : x
  2. Step 2: Convert to fraction form
    4,659.86/6,990 = 1,540.04/x
  3. Step 3: Cross multiply
    4,659.86x = 6,990 × 1,540.04
  4. Step 4: Simplify right side
    4,659.86x = 10,764,879.60
  5. Step 5: Solve for x
    x = 10,764,879.60/4,659.86
  6. Step 6: Final answer
    x = 2,310.13

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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.