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Finding the Fourth Proportional to 4,600.47, 6,899.22 and 1,826.31

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Solution

The fourth proportional to 4,600.47, 6,899.22 and 1,826.31 is: 2,738.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.47 : 6,899.22 = 1,826.31 : x
  2. Step 2: Convert to fraction form
    4,600.47/6,899.22 = 1,826.31/x
  3. Step 3: Cross multiply
    4,600.47x = 6,899.22 × 1,826.31
  4. Step 4: Simplify right side
    4,600.47x = 12,600,114.48
  5. Step 5: Solve for x
    x = 12,600,114.48/4,600.47
  6. Step 6: Final answer
    x = 2,738.88

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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.