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Finding the Fourth Proportional to 4,237.76, 6,356.32 and 1,896.80

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Solution

The fourth proportional to 4,237.76, 6,356.32 and 1,896.80 is: 2,845.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237.76 : 6,356.32 = 1,896.80 : x
  2. Step 2: Convert to fraction form
    4,237.76/6,356.32 = 1,896.80/x
  3. Step 3: Cross multiply
    4,237.76x = 6,356.32 × 1,896.80
  4. Step 4: Simplify right side
    4,237.76x = 12,056,667.78
  5. Step 5: Solve for x
    x = 12,056,667.78/4,237.76
  6. Step 6: Final answer
    x = 2,845.06

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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.