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Finding the Fourth Proportional to 5,308.98, 7,960.77 and 2,019.57

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Solution

The fourth proportional to 5,308.98, 7,960.77 and 2,019.57 is: 3,028.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.98 : 7,960.77 = 2,019.57 : x
  2. Step 2: Convert to fraction form
    5,308.98/7,960.77 = 2,019.57/x
  3. Step 3: Cross multiply
    5,308.98x = 7,960.77 × 2,019.57
  4. Step 4: Simplify right side
    5,308.98x = 16,077,332.27
  5. Step 5: Solve for x
    x = 16,077,332.27/5,308.98
  6. Step 6: Final answer
    x = 3,028.33

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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.