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Finding the Fourth Proportional to 4,493.61, 6,741.23 and 1,859.69

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Solution

The fourth proportional to 4,493.61, 6,741.23 and 1,859.69 is: 2,789.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.61 : 6,741.23 = 1,859.69 : x
  2. Step 2: Convert to fraction form
    4,493.61/6,741.23 = 1,859.69/x
  3. Step 3: Cross multiply
    4,493.61x = 6,741.23 × 1,859.69
  4. Step 4: Simplify right side
    4,493.61x = 12,536,555.01
  5. Step 5: Solve for x
    x = 12,536,555.01/4,493.61
  6. Step 6: Final answer
    x = 2,789.86

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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.