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Finding the Fourth Proportional to 3,685.27, 5,527.11 and 1,219.53

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Solution

The fourth proportional to 3,685.27, 5,527.11 and 1,219.53 is: 1,829.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.27 : 5,527.11 = 1,219.53 : x
  2. Step 2: Convert to fraction form
    3,685.27/5,527.11 = 1,219.53/x
  3. Step 3: Cross multiply
    3,685.27x = 5,527.11 × 1,219.53
  4. Step 4: Simplify right side
    3,685.27x = 6,740,476.46
  5. Step 5: Solve for x
    x = 6,740,476.46/3,685.27
  6. Step 6: Final answer
    x = 1,829.03

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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.