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Finding the Fourth Proportional to 5,684.39, 8,527.62 and 1,936.49

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Solution

The fourth proportional to 5,684.39, 8,527.62 and 1,936.49 is: 2,905.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.39 : 8,527.62 = 1,936.49 : x
  2. Step 2: Convert to fraction form
    5,684.39/8,527.62 = 1,936.49/x
  3. Step 3: Cross multiply
    5,684.39x = 8,527.62 × 1,936.49
  4. Step 4: Simplify right side
    5,684.39x = 16,513,608.22
  5. Step 5: Solve for x
    x = 16,513,608.22/5,684.39
  6. Step 6: Final answer
    x = 2,905.08

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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.