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Finding the Fourth Proportional to 3,755.40, 5,632.62 and 982.26

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Solution

The fourth proportional to 3,755.40, 5,632.62 and 982.26 is: 1,473.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.40 : 5,632.62 = 982.26 : x
  2. Step 2: Convert to fraction form
    3,755.40/5,632.62 = 982.26/x
  3. Step 3: Cross multiply
    3,755.40x = 5,632.62 × 982.26
  4. Step 4: Simplify right side
    3,755.40x = 5,532,697.32
  5. Step 5: Solve for x
    x = 5,532,697.32/3,755.40
  6. Step 6: Final answer
    x = 1,473.26

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