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Finding the Fourth Proportional to 3,770.19, 5,655.83 and 1,271.88

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Solution

The fourth proportional to 3,770.19, 5,655.83 and 1,271.88 is: 1,908.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.19 : 5,655.83 = 1,271.88 : x
  2. Step 2: Convert to fraction form
    3,770.19/5,655.83 = 1,271.88/x
  3. Step 3: Cross multiply
    3,770.19x = 5,655.83 × 1,271.88
  4. Step 4: Simplify right side
    3,770.19x = 7,193,530.70
  5. Step 5: Solve for x
    x = 7,193,530.70/3,770.19
  6. Step 6: Final answer
    x = 1,908.00

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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.