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Finding the Fourth Proportional to 3,870.37, 5,805.01 and 1,238.07

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Solution

The fourth proportional to 3,870.37, 5,805.01 and 1,238.07 is: 1,856.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.37 : 5,805.01 = 1,238.07 : x
  2. Step 2: Convert to fraction form
    3,870.37/5,805.01 = 1,238.07/x
  3. Step 3: Cross multiply
    3,870.37x = 5,805.01 × 1,238.07
  4. Step 4: Simplify right side
    3,870.37x = 7,187,008.73
  5. Step 5: Solve for x
    x = 7,187,008.73/3,870.37
  6. Step 6: Final answer
    x = 1,856.93

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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.