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Finding the Fourth Proportional to 5,684.84, 8,526.81 and 1,936.42

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Solution

The fourth proportional to 5,684.84, 8,526.81 and 1,936.42 is: 2,904.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.84 : 8,526.81 = 1,936.42 : x
  2. Step 2: Convert to fraction form
    5,684.84/8,526.81 = 1,936.42/x
  3. Step 3: Cross multiply
    5,684.84x = 8,526.81 × 1,936.42
  4. Step 4: Simplify right side
    5,684.84x = 16,511,485.42
  5. Step 5: Solve for x
    x = 16,511,485.42/5,684.84
  6. Step 6: Final answer
    x = 2,904.48

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1.5x scale

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.