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Finding the Fourth Proportional to 4,639.96, 6,404.34 and 3,150.37

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Solution

The fourth proportional to 4,639.96, 6,404.34 and 3,150.37 is: 4,348.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,639.96 : 6,404.34 = 3,150.37 : x
  2. Step 2: Convert to fraction form
    4,639.96/6,404.34 = 3,150.37/x
  3. Step 3: Cross multiply
    4,639.96x = 6,404.34 × 3,150.37
  4. Step 4: Simplify right side
    4,639.96x = 20,176,040.61
  5. Step 5: Solve for x
    x = 20,176,040.61/4,639.96
  6. Step 6: Final answer
    x = 4,348.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.