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Finding the Fourth Proportional to 4,642.35, 6,406.74 and 3,067.71

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Solution

The fourth proportional to 4,642.35, 6,406.74 and 3,067.71 is: 4,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.35 : 6,406.74 = 3,067.71 : x
  2. Step 2: Convert to fraction form
    4,642.35/6,406.74 = 3,067.71/x
  3. Step 3: Cross multiply
    4,642.35x = 6,406.74 × 3,067.71
  4. Step 4: Simplify right side
    4,642.35x = 19,654,020.37
  5. Step 5: Solve for x
    x = 19,654,020.37/4,642.35
  6. Step 6: Final answer
    x = 4,233.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.