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Finding the Fourth Proportional to 4,600.50, 6,889.77 and 2,648.61

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Solution

The fourth proportional to 4,600.50, 6,889.77 and 2,648.61 is: 3,966.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.50 : 6,889.77 = 2,648.61 : x
  2. Step 2: Convert to fraction form
    4,600.50/6,889.77 = 2,648.61/x
  3. Step 3: Cross multiply
    4,600.50x = 6,889.77 × 2,648.61
  4. Step 4: Simplify right side
    4,600.50x = 18,248,313.72
  5. Step 5: Solve for x
    x = 18,248,313.72/4,600.50
  6. Step 6: Final answer
    x = 3,966.59

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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.