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Finding the Fourth Proportional to 3,886.23, 5,826.09 and 1,544.76

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Solution

The fourth proportional to 3,886.23, 5,826.09 and 1,544.76 is: 2,315.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.23 : 5,826.09 = 1,544.76 : x
  2. Step 2: Convert to fraction form
    3,886.23/5,826.09 = 1,544.76/x
  3. Step 3: Cross multiply
    3,886.23x = 5,826.09 × 1,544.76
  4. Step 4: Simplify right side
    3,886.23x = 8,999,910.79
  5. Step 5: Solve for x
    x = 8,999,910.79/3,886.23
  6. Step 6: Final answer
    x = 2,315.85

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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.