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Finding the Fourth Proportional to 4,627.41, 6,943.40 and 2,162.41

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Solution

The fourth proportional to 4,627.41, 6,943.40 and 2,162.41 is: 3,244.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.41 : 6,943.40 = 2,162.41 : x
  2. Step 2: Convert to fraction form
    4,627.41/6,943.40 = 2,162.41/x
  3. Step 3: Cross multiply
    4,627.41x = 6,943.40 × 2,162.41
  4. Step 4: Simplify right side
    4,627.41x = 15,014,477.59
  5. Step 5: Solve for x
    x = 15,014,477.59/4,627.41
  6. Step 6: Final answer
    x = 3,244.68

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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.