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Finding the Fourth Proportional to 3,755.31, 5,633.30 and 981.97

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Solution

The fourth proportional to 3,755.31, 5,633.30 and 981.97 is: 1,473.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.31 : 5,633.30 = 981.97 : x
  2. Step 2: Convert to fraction form
    3,755.31/5,633.30 = 981.97/x
  3. Step 3: Cross multiply
    3,755.31x = 5,633.30 × 981.97
  4. Step 4: Simplify right side
    3,755.31x = 5,531,746.14
  5. Step 5: Solve for x
    x = 5,531,746.14/3,755.31
  6. Step 6: Final answer
    x = 1,473.05

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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.