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Finding the Fourth Proportional to 3,185.96, 4,777.72 and 1,237.91

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Solution

The fourth proportional to 3,185.96, 4,777.72 and 1,237.91 is: 1,856.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.96 : 4,777.72 = 1,237.91 : x
  2. Step 2: Convert to fraction form
    3,185.96/4,777.72 = 1,237.91/x
  3. Step 3: Cross multiply
    3,185.96x = 4,777.72 × 1,237.91
  4. Step 4: Simplify right side
    3,185.96x = 5,914,360.38
  5. Step 5: Solve for x
    x = 5,914,360.38/3,185.96
  6. Step 6: Final answer
    x = 1,856.39

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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.