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Finding the Fourth Proportional to 3,684.36, 5,527.16 and 1,344.60

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Solution

The fourth proportional to 3,684.36, 5,527.16 and 1,344.60 is: 2,017.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.36 : 5,527.16 = 1,344.60 : x
  2. Step 2: Convert to fraction form
    3,684.36/5,527.16 = 1,344.60/x
  3. Step 3: Cross multiply
    3,684.36x = 5,527.16 × 1,344.60
  4. Step 4: Simplify right side
    3,684.36x = 7,431,819.34
  5. Step 5: Solve for x
    x = 7,431,819.34/3,684.36
  6. Step 6: Final answer
    x = 2,017.13

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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.