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Finding the Fourth Proportional to 3,845.57, 5,765.60 and 1,653.09

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Solution

The fourth proportional to 3,845.57, 5,765.60 and 1,653.09 is: 2,478.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.57 : 5,765.60 = 1,653.09 : x
  2. Step 2: Convert to fraction form
    3,845.57/5,765.60 = 1,653.09/x
  3. Step 3: Cross multiply
    3,845.57x = 5,765.60 × 1,653.09
  4. Step 4: Simplify right side
    3,845.57x = 9,531,047.44
  5. Step 5: Solve for x
    x = 9,531,047.44/3,845.57
  6. Step 6: Final answer
    x = 2,478.45

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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.