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Finding the Fourth Proportional to 3,419.98, 5,128.02 and 2,034.30

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Solution

The fourth proportional to 3,419.98, 5,128.02 and 2,034.30 is: 3,050.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.98 : 5,128.02 = 2,034.30 : x
  2. Step 2: Convert to fraction form
    3,419.98/5,128.02 = 2,034.30/x
  3. Step 3: Cross multiply
    3,419.98x = 5,128.02 × 2,034.30
  4. Step 4: Simplify right side
    3,419.98x = 10,431,931.09
  5. Step 5: Solve for x
    x = 10,431,931.09/3,419.98
  6. Step 6: Final answer
    x = 3,050.29

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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.