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Finding the Fourth Proportional to 4,243.65, 5,856.03 and 2,474.97

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Solution

The fourth proportional to 4,243.65, 5,856.03 and 2,474.97 is: 3,415.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.65 : 5,856.03 = 2,474.97 : x
  2. Step 2: Convert to fraction form
    4,243.65/5,856.03 = 2,474.97/x
  3. Step 3: Cross multiply
    4,243.65x = 5,856.03 × 2,474.97
  4. Step 4: Simplify right side
    4,243.65x = 14,493,498.57
  5. Step 5: Solve for x
    x = 14,493,498.57/4,243.65
  6. Step 6: Final answer
    x = 3,415.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.