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Finding the Fourth Proportional to 3,684.72, 5,527.08 and 3,034.09

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Solution

The fourth proportional to 3,684.72, 5,527.08 and 3,034.09 is: 4,551.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.72 : 5,527.08 = 3,034.09 : x
  2. Step 2: Convert to fraction form
    3,684.72/5,527.08 = 3,034.09/x
  3. Step 3: Cross multiply
    3,684.72x = 5,527.08 × 3,034.09
  4. Step 4: Simplify right side
    3,684.72x = 16,769,630.52
  5. Step 5: Solve for x
    x = 16,769,630.52/3,684.72
  6. Step 6: Final answer
    x = 4,551.13

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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.