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Finding the Fourth Proportional to 3,498.66, 4,828.41 and 2,172.42

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Solution

The fourth proportional to 3,498.66, 4,828.41 and 2,172.42 is: 2,998.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.66 : 4,828.41 = 2,172.42 : x
  2. Step 2: Convert to fraction form
    3,498.66/4,828.41 = 2,172.42/x
  3. Step 3: Cross multiply
    3,498.66x = 4,828.41 × 2,172.42
  4. Step 4: Simplify right side
    3,498.66x = 10,489,334.45
  5. Step 5: Solve for x
    x = 10,489,334.45/3,498.66
  6. Step 6: Final answer
    x = 2,998.10

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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.