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Finding the Fourth Proportional to 4,130.85, 6,228.69 and 3,786.42

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Solution

The fourth proportional to 4,130.85, 6,228.69 and 3,786.42 is: 5,709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130.85 : 6,228.69 = 3,786.42 : x
  2. Step 2: Convert to fraction form
    4,130.85/6,228.69 = 3,786.42/x
  3. Step 3: Cross multiply
    4,130.85x = 6,228.69 × 3,786.42
  4. Step 4: Simplify right side
    4,130.85x = 23,584,436.39
  5. Step 5: Solve for x
    x = 23,584,436.39/4,130.85
  6. Step 6: Final answer
    x = 5,709.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.