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Finding the Fourth Proportional to 5,245.97, 7,869.96 and 1,736.51

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Solution

The fourth proportional to 5,245.97, 7,869.96 and 1,736.51 is: 2,605.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.97 : 7,869.96 = 1,736.51 : x
  2. Step 2: Convert to fraction form
    5,245.97/7,869.96 = 1,736.51/x
  3. Step 3: Cross multiply
    5,245.97x = 7,869.96 × 1,736.51
  4. Step 4: Simplify right side
    5,245.97x = 13,666,224.89
  5. Step 5: Solve for x
    x = 13,666,224.89/5,245.97
  6. Step 6: Final answer
    x = 2,605.09

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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.