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Finding the Fourth Proportional to 4,616.58, 6,370.81 and 2,627.12

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Solution

The fourth proportional to 4,616.58, 6,370.81 and 2,627.12 is: 3,625.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.58 : 6,370.81 = 2,627.12 : x
  2. Step 2: Convert to fraction form
    4,616.58/6,370.81 = 2,627.12/x
  3. Step 3: Cross multiply
    4,616.58x = 6,370.81 × 2,627.12
  4. Step 4: Simplify right side
    4,616.58x = 16,736,882.37
  5. Step 5: Solve for x
    x = 16,736,882.37/4,616.58
  6. Step 6: Final answer
    x = 3,625.39

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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.