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Finding the Fourth Proportional to 5,734.41, 7,910.24 and 3,495.03

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Solution

The fourth proportional to 5,734.41, 7,910.24 and 3,495.03 is: 4,821.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.41 : 7,910.24 = 3,495.03 : x
  2. Step 2: Convert to fraction form
    5,734.41/7,910.24 = 3,495.03/x
  3. Step 3: Cross multiply
    5,734.41x = 7,910.24 × 3,495.03
  4. Step 4: Simplify right side
    5,734.41x = 27,646,508.63
  5. Step 5: Solve for x
    x = 27,646,508.63/5,734.41
  6. Step 6: Final answer
    x = 4,821.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.