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Finding the Fourth Proportional to 5,723.82, 7,899.18 and 3,485.34

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Solution

The fourth proportional to 5,723.82, 7,899.18 and 3,485.34 is: 4,809.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.82 : 7,899.18 = 3,485.34 : x
  2. Step 2: Convert to fraction form
    5,723.82/7,899.18 = 3,485.34/x
  3. Step 3: Cross multiply
    5,723.82x = 7,899.18 × 3,485.34
  4. Step 4: Simplify right side
    5,723.82x = 27,531,328.02
  5. Step 5: Solve for x
    x = 27,531,328.02/5,723.82
  6. Step 6: Final answer
    x = 4,809.96

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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.