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Finding the Fourth Proportional to 4,141.76, 6,214.64 and 1,832.96

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Solution

The fourth proportional to 4,141.76, 6,214.64 and 1,832.96 is: 2,750.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.76 : 6,214.64 = 1,832.96 : x
  2. Step 2: Convert to fraction form
    4,141.76/6,214.64 = 1,832.96/x
  3. Step 3: Cross multiply
    4,141.76x = 6,214.64 × 1,832.96
  4. Step 4: Simplify right side
    4,141.76x = 11,391,186.53
  5. Step 5: Solve for x
    x = 11,391,186.53/4,141.76
  6. Step 6: Final answer
    x = 2,750.33

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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.