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Finding the Fourth Proportional to 3,684.78, 5,527.19 and 3,034.16

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Solution

The fourth proportional to 3,684.78, 5,527.19 and 3,034.16 is: 4,551.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.78 : 5,527.19 = 3,034.16 : x
  2. Step 2: Convert to fraction form
    3,684.78/5,527.19 = 3,034.16/x
  3. Step 3: Cross multiply
    3,684.78x = 5,527.19 × 3,034.16
  4. Step 4: Simplify right side
    3,684.78x = 16,770,336.00
  5. Step 5: Solve for x
    x = 16,770,336.00/3,684.78
  6. Step 6: Final answer
    x = 4,551.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.