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Finding the Fourth Proportional to 3,527.53, 5,286.69 and 1,967.47

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Solution

The fourth proportional to 3,527.53, 5,286.69 and 1,967.47 is: 2,948.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.53 : 5,286.69 = 1,967.47 : x
  2. Step 2: Convert to fraction form
    3,527.53/5,286.69 = 1,967.47/x
  3. Step 3: Cross multiply
    3,527.53x = 5,286.69 × 1,967.47
  4. Step 4: Simplify right side
    3,527.53x = 10,401,403.97
  5. Step 5: Solve for x
    x = 10,401,403.97/3,527.53
  6. Step 6: Final answer
    x = 2,948.64

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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.