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Finding the Fourth Proportional to 3,222.63, 4,447.86 and 1,897.47

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Solution

The fourth proportional to 3,222.63, 4,447.86 and 1,897.47 is: 2,618.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.63 : 4,447.86 = 1,897.47 : x
  2. Step 2: Convert to fraction form
    3,222.63/4,447.86 = 1,897.47/x
  3. Step 3: Cross multiply
    3,222.63x = 4,447.86 × 1,897.47
  4. Step 4: Simplify right side
    3,222.63x = 8,439,680.91
  5. Step 5: Solve for x
    x = 8,439,680.91/3,222.63
  6. Step 6: Final answer
    x = 2,618.88

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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.