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Finding the Fourth Proportional to 4,982.09, 7,471.38 and 1,471.16

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Solution

The fourth proportional to 4,982.09, 7,471.38 and 1,471.16 is: 2,206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982.09 : 7,471.38 = 1,471.16 : x
  2. Step 2: Convert to fraction form
    4,982.09/7,471.38 = 1,471.16/x
  3. Step 3: Cross multiply
    4,982.09x = 7,471.38 × 1,471.16
  4. Step 4: Simplify right side
    4,982.09x = 10,991,595.40
  5. Step 5: Solve for x
    x = 10,991,595.40/4,982.09
  6. Step 6: Final answer
    x = 2,206.22

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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.