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Finding the Fourth Proportional to 3,755.45, 5,633.19 and 982.13

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Solution

The fourth proportional to 3,755.45, 5,633.19 and 982.13 is: 1,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.45 : 5,633.19 = 982.13 : x
  2. Step 2: Convert to fraction form
    3,755.45/5,633.19 = 982.13/x
  3. Step 3: Cross multiply
    3,755.45x = 5,633.19 × 982.13
  4. Step 4: Simplify right side
    3,755.45x = 5,532,509.13
  5. Step 5: Solve for x
    x = 5,532,509.13/3,755.45
  6. Step 6: Final answer
    x = 1,473.20

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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.