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Finding the Fourth Proportional to 3,406.77, 5,106.96 and 3,102.39

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Solution

The fourth proportional to 3,406.77, 5,106.96 and 3,102.39 is: 4,650.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.77 : 5,106.96 = 3,102.39 : x
  2. Step 2: Convert to fraction form
    3,406.77/5,106.96 = 3,102.39/x
  3. Step 3: Cross multiply
    3,406.77x = 5,106.96 × 3,102.39
  4. Step 4: Simplify right side
    3,406.77x = 15,843,781.63
  5. Step 5: Solve for x
    x = 15,843,781.63/3,406.77
  6. Step 6: Final answer
    x = 4,650.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.