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Finding the Fourth Proportional to 4,155.89, 6,229.44 and 1,381.82

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Solution

The fourth proportional to 4,155.89, 6,229.44 and 1,381.82 is: 2,071.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.89 : 6,229.44 = 1,381.82 : x
  2. Step 2: Convert to fraction form
    4,155.89/6,229.44 = 1,381.82/x
  3. Step 3: Cross multiply
    4,155.89x = 6,229.44 × 1,381.82
  4. Step 4: Simplify right side
    4,155.89x = 8,607,933.63
  5. Step 5: Solve for x
    x = 8,607,933.63/4,155.89
  6. Step 6: Final answer
    x = 2,071.26

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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.