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Finding the Fourth Proportional to 3,770.56, 5,655.77 and 1,305.34

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Solution

The fourth proportional to 3,770.56, 5,655.77 and 1,305.34 is: 1,957.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.56 : 5,655.77 = 1,305.34 : x
  2. Step 2: Convert to fraction form
    3,770.56/5,655.77 = 1,305.34/x
  3. Step 3: Cross multiply
    3,770.56x = 5,655.77 × 1,305.34
  4. Step 4: Simplify right side
    3,770.56x = 7,382,702.81
  5. Step 5: Solve for x
    x = 7,382,702.81/3,770.56
  6. Step 6: Final answer
    x = 1,957.99

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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.