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Finding the Fourth Proportional to 3,868.06, 5,801 and 1,235.56

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Solution

The fourth proportional to 3,868.06, 5,801 and 1,235.56 is: 1,852.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.06 : 5,801 = 1,235.56 : x
  2. Step 2: Convert to fraction form
    3,868.06/5,801 = 1,235.56/x
  3. Step 3: Cross multiply
    3,868.06x = 5,801 × 1,235.56
  4. Step 4: Simplify right side
    3,868.06x = 7,167,454.56
  5. Step 5: Solve for x
    x = 7,167,454.56/3,868.06
  6. Step 6: Final answer
    x = 1,852.99

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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.