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Finding the Fourth Proportional to 3,367.36, 4,646.64 and 3,119.68

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Solution

The fourth proportional to 3,367.36, 4,646.64 and 3,119.68 is: 4,304.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.36 : 4,646.64 = 3,119.68 : x
  2. Step 2: Convert to fraction form
    3,367.36/4,646.64 = 3,119.68/x
  3. Step 3: Cross multiply
    3,367.36x = 4,646.64 × 3,119.68
  4. Step 4: Simplify right side
    3,367.36x = 14,496,029.88
  5. Step 5: Solve for x
    x = 14,496,029.88/3,367.36
  6. Step 6: Final answer
    x = 4,304.86

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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.