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Finding the Fourth Proportional to 3,498.41, 5,222.02 and 3,083.23

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Solution

The fourth proportional to 3,498.41, 5,222.02 and 3,083.23 is: 4,602.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.41 : 5,222.02 = 3,083.23 : x
  2. Step 2: Convert to fraction form
    3,498.41/5,222.02 = 3,083.23/x
  3. Step 3: Cross multiply
    3,498.41x = 5,222.02 × 3,083.23
  4. Step 4: Simplify right side
    3,498.41x = 16,100,686.36
  5. Step 5: Solve for x
    x = 16,100,686.36/3,498.41
  6. Step 6: Final answer
    x = 4,602.29

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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.