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Finding the Fourth Proportional to 3,698, 5,103.96 and 2,206.16

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Solution

The fourth proportional to 3,698, 5,103.96 and 2,206.16 is: 3,044.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698 : 5,103.96 = 2,206.16 : x
  2. Step 2: Convert to fraction form
    3,698/5,103.96 = 2,206.16/x
  3. Step 3: Cross multiply
    3,698x = 5,103.96 × 2,206.16
  4. Step 4: Simplify right side
    3,698x = 11,260,152.39
  5. Step 5: Solve for x
    x = 11,260,152.39/3,698
  6. Step 6: Final answer
    x = 3,044.93

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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.