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Finding the Fourth Proportional to 3,975.99, 5,486.70 and 2,207.49

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Solution

The fourth proportional to 3,975.99, 5,486.70 and 2,207.49 is: 3,046.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.99 : 5,486.70 = 2,207.49 : x
  2. Step 2: Convert to fraction form
    3,975.99/5,486.70 = 2,207.49/x
  3. Step 3: Cross multiply
    3,975.99x = 5,486.70 × 2,207.49
  4. Step 4: Simplify right side
    3,975.99x = 12,111,835.38
  5. Step 5: Solve for x
    x = 12,111,835.38/3,975.99
  6. Step 6: Final answer
    x = 3,046.24

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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.