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Finding the Fourth Proportional to 3,498.74, 5,222.51 and 3,083.56

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Solution

The fourth proportional to 3,498.74, 5,222.51 and 3,083.56 is: 4,602.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.74 : 5,222.51 = 3,083.56 : x
  2. Step 2: Convert to fraction form
    3,498.74/5,222.51 = 3,083.56/x
  3. Step 3: Cross multiply
    3,498.74x = 5,222.51 × 3,083.56
  4. Step 4: Simplify right side
    3,498.74x = 16,103,915.23
  5. Step 5: Solve for x
    x = 16,103,915.23/3,498.74
  6. Step 6: Final answer
    x = 4,602.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.