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Finding the Fourth Proportional to 3,759.26, 5,639.88 and 1,419.30

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Solution

The fourth proportional to 3,759.26, 5,639.88 and 1,419.30 is: 2,129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.26 : 5,639.88 = 1,419.30 : x
  2. Step 2: Convert to fraction form
    3,759.26/5,639.88 = 1,419.30/x
  3. Step 3: Cross multiply
    3,759.26x = 5,639.88 × 1,419.30
  4. Step 4: Simplify right side
    3,759.26x = 8,004,681.68
  5. Step 5: Solve for x
    x = 8,004,681.68/3,759.26
  6. Step 6: Final answer
    x = 2,129.32

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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.