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Finding the Fourth Proportional to 3,811.48, 5,716.05 and 1,471.30

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Solution

The fourth proportional to 3,811.48, 5,716.05 and 1,471.30 is: 2,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.48 : 5,716.05 = 1,471.30 : x
  2. Step 2: Convert to fraction form
    3,811.48/5,716.05 = 1,471.30/x
  3. Step 3: Cross multiply
    3,811.48x = 5,716.05 × 1,471.30
  4. Step 4: Simplify right side
    3,811.48x = 8,410,024.37
  5. Step 5: Solve for x
    x = 8,410,024.37/3,811.48
  6. Step 6: Final answer
    x = 2,206.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.