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Finding the Fourth Proportional to 4,180, 6,290.96 and 3,145.36

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Solution

The fourth proportional to 4,180, 6,290.96 and 3,145.36 is: 4,733.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180 : 6,290.96 = 3,145.36 : x
  2. Step 2: Convert to fraction form
    4,180/6,290.96 = 3,145.36/x
  3. Step 3: Cross multiply
    4,180x = 6,290.96 × 3,145.36
  4. Step 4: Simplify right side
    4,180x = 19,787,333.95
  5. Step 5: Solve for x
    x = 19,787,333.95/4,180
  6. Step 6: Final answer
    x = 4,733.81

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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.