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Finding the Fourth Proportional to 3,419.14, 5,128.71 and 1,959.22

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Solution

The fourth proportional to 3,419.14, 5,128.71 and 1,959.22 is: 2,938.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.14 : 5,128.71 = 1,959.22 : x
  2. Step 2: Convert to fraction form
    3,419.14/5,128.71 = 1,959.22/x
  3. Step 3: Cross multiply
    3,419.14x = 5,128.71 × 1,959.22
  4. Step 4: Simplify right side
    3,419.14x = 10,048,271.21
  5. Step 5: Solve for x
    x = 10,048,271.21/3,419.14
  6. Step 6: Final answer
    x = 2,938.83

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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.