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Finding the Fourth Proportional to 3,945.90, 5,917.54 and 3,069.38

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Solution

The fourth proportional to 3,945.90, 5,917.54 and 3,069.38 is: 4,603.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,945.90 : 5,917.54 = 3,069.38 : x
  2. Step 2: Convert to fraction form
    3,945.90/5,917.54 = 3,069.38/x
  3. Step 3: Cross multiply
    3,945.90x = 5,917.54 × 3,069.38
  4. Step 4: Simplify right side
    3,945.90x = 18,163,178.93
  5. Step 5: Solve for x
    x = 18,163,178.93/3,945.90
  6. Step 6: Final answer
    x = 4,603.05

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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.