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Finding the Fourth Proportional to 4,141.60, 6,213.93 and 1,921.51

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Solution

The fourth proportional to 4,141.60, 6,213.93 and 1,921.51 is: 2,882.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.60 : 6,213.93 = 1,921.51 : x
  2. Step 2: Convert to fraction form
    4,141.60/6,213.93 = 1,921.51/x
  3. Step 3: Cross multiply
    4,141.60x = 6,213.93 × 1,921.51
  4. Step 4: Simplify right side
    4,141.60x = 11,940,128.63
  5. Step 5: Solve for x
    x = 11,940,128.63/4,141.60
  6. Step 6: Final answer
    x = 2,882.97

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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.