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Finding the Fourth Proportional to 3,769.35, 5,656.23 and 1,577.90

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Solution

The fourth proportional to 3,769.35, 5,656.23 and 1,577.90 is: 2,367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.35 : 5,656.23 = 1,577.90 : x
  2. Step 2: Convert to fraction form
    3,769.35/5,656.23 = 1,577.90/x
  3. Step 3: Cross multiply
    3,769.35x = 5,656.23 × 1,577.90
  4. Step 4: Simplify right side
    3,769.35x = 8,924,937.04
  5. Step 5: Solve for x
    x = 8,924,937.04/3,769.35
  6. Step 6: Final answer
    x = 2,367.77

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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.