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Finding the Fourth Proportional to 4,069.07, 5,615.33 and 2,206.07

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Solution

The fourth proportional to 4,069.07, 5,615.33 and 2,206.07 is: 3,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069.07 : 5,615.33 = 2,206.07 : x
  2. Step 2: Convert to fraction form
    4,069.07/5,615.33 = 2,206.07/x
  3. Step 3: Cross multiply
    4,069.07x = 5,615.33 × 2,206.07
  4. Step 4: Simplify right side
    4,069.07x = 12,387,811.05
  5. Step 5: Solve for x
    x = 12,387,811.05/4,069.07
  6. Step 6: Final answer
    x = 3,044.38

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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.