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Finding the Fourth Proportional to 4,212.41, 6,303.12 and 2,540.57

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Solution

The fourth proportional to 4,212.41, 6,303.12 and 2,540.57 is: 3,801.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.41 : 6,303.12 = 2,540.57 : x
  2. Step 2: Convert to fraction form
    4,212.41/6,303.12 = 2,540.57/x
  3. Step 3: Cross multiply
    4,212.41x = 6,303.12 × 2,540.57
  4. Step 4: Simplify right side
    4,212.41x = 16,013,476.54
  5. Step 5: Solve for x
    x = 16,013,476.54/4,212.41
  6. Step 6: Final answer
    x = 3,801.50

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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.