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Finding the Fourth Proportional to 3,755.92, 5,633.88 and 982.36

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Solution

The fourth proportional to 3,755.92, 5,633.88 and 982.36 is: 1,473.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.92 : 5,633.88 = 982.36 : x
  2. Step 2: Convert to fraction form
    3,755.92/5,633.88 = 982.36/x
  3. Step 3: Cross multiply
    3,755.92x = 5,633.88 × 982.36
  4. Step 4: Simplify right side
    3,755.92x = 5,534,498.36
  5. Step 5: Solve for x
    x = 5,534,498.36/3,755.92
  6. Step 6: Final answer
    x = 1,473.54

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1.5x scale

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.