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Finding the Fourth Proportional to 3,770.46, 5,655.56 and 1,305.23

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Solution

The fourth proportional to 3,770.46, 5,655.56 and 1,305.23 is: 1,957.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.46 : 5,655.56 = 1,305.23 : x
  2. Step 2: Convert to fraction form
    3,770.46/5,655.56 = 1,305.23/x
  3. Step 3: Cross multiply
    3,770.46x = 5,655.56 × 1,305.23
  4. Step 4: Simplify right side
    3,770.46x = 7,381,771.77
  5. Step 5: Solve for x
    x = 7,381,771.77/3,770.46
  6. Step 6: Final answer
    x = 1,957.79

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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.