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Finding the Fourth Proportional to 3,769.36, 5,654.54 and 1,577.57

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Solution

The fourth proportional to 3,769.36, 5,654.54 and 1,577.57 is: 2,366.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.36 : 5,654.54 = 1,577.57 : x
  2. Step 2: Convert to fraction form
    3,769.36/5,654.54 = 1,577.57/x
  3. Step 3: Cross multiply
    3,769.36x = 5,654.54 × 1,577.57
  4. Step 4: Simplify right side
    3,769.36x = 8,920,408.34
  5. Step 5: Solve for x
    x = 8,920,408.34/3,769.36
  6. Step 6: Final answer
    x = 2,366.56

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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.