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Finding the Fourth Proportional to 3,367.80, 5,051.01 and 1,146.42

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Solution

The fourth proportional to 3,367.80, 5,051.01 and 1,146.42 is: 1,719.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.80 : 5,051.01 = 1,146.42 : x
  2. Step 2: Convert to fraction form
    3,367.80/5,051.01 = 1,146.42/x
  3. Step 3: Cross multiply
    3,367.80x = 5,051.01 × 1,146.42
  4. Step 4: Simplify right side
    3,367.80x = 5,790,578.88
  5. Step 5: Solve for x
    x = 5,790,578.88/3,367.80
  6. Step 6: Final answer
    x = 1,719.40

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