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Finding the Fourth Proportional to 3,412.12, 4,707.12 and 2,014

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Solution

The fourth proportional to 3,412.12, 4,707.12 and 2,014 is: 2,778.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.12 : 4,707.12 = 2,014 : x
  2. Step 2: Convert to fraction form
    3,412.12/4,707.12 = 2,014/x
  3. Step 3: Cross multiply
    3,412.12x = 4,707.12 × 2,014
  4. Step 4: Simplify right side
    3,412.12x = 9,480,139.68
  5. Step 5: Solve for x
    x = 9,480,139.68/3,412.12
  6. Step 6: Final answer
    x = 2,778.37

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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.