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Finding the Fourth Proportional to 4,014, 6,021.08 and 1,278

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Solution

The fourth proportional to 4,014, 6,021.08 and 1,278 is: 1,917.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,014 : 6,021.08 = 1,278 : x
  2. Step 2: Convert to fraction form
    4,014/6,021.08 = 1,278/x
  3. Step 3: Cross multiply
    4,014x = 6,021.08 × 1,278
  4. Step 4: Simplify right side
    4,014x = 7,694,940.24
  5. Step 5: Solve for x
    x = 7,694,940.24/4,014
  6. Step 6: Final answer
    x = 1,917.03

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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.