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Finding the Fourth Proportional to 5,741.60, 7,924.44 and 3,383.60

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Solution

The fourth proportional to 5,741.60, 7,924.44 and 3,383.60 is: 4,669.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.60 : 7,924.44 = 3,383.60 : x
  2. Step 2: Convert to fraction form
    5,741.60/7,924.44 = 3,383.60/x
  3. Step 3: Cross multiply
    5,741.60x = 7,924.44 × 3,383.60
  4. Step 4: Simplify right side
    5,741.60x = 26,813,135.18
  5. Step 5: Solve for x
    x = 26,813,135.18/5,741.60
  6. Step 6: Final answer
    x = 4,669.98

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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.