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Finding the Fourth Proportional to 5,684.82, 8,528.15 and 1,936.93

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Solution

The fourth proportional to 5,684.82, 8,528.15 and 1,936.93 is: 2,905.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.82 : 8,528.15 = 1,936.93 : x
  2. Step 2: Convert to fraction form
    5,684.82/8,528.15 = 1,936.93/x
  3. Step 3: Cross multiply
    5,684.82x = 8,528.15 × 1,936.93
  4. Step 4: Simplify right side
    5,684.82x = 16,518,429.09
  5. Step 5: Solve for x
    x = 16,518,429.09/5,684.82
  6. Step 6: Final answer
    x = 2,905.71

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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.