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Finding the Fourth Proportional to 3,889.86, 5,366.05 and 2,471.23

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Solution

The fourth proportional to 3,889.86, 5,366.05 and 2,471.23 is: 3,409.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.86 : 5,366.05 = 2,471.23 : x
  2. Step 2: Convert to fraction form
    3,889.86/5,366.05 = 2,471.23/x
  3. Step 3: Cross multiply
    3,889.86x = 5,366.05 × 2,471.23
  4. Step 4: Simplify right side
    3,889.86x = 13,260,743.74
  5. Step 5: Solve for x
    x = 13,260,743.74/3,889.86
  6. Step 6: Final answer
    x = 3,409.05

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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.