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Finding the Fourth Proportional to 5,290.58, 7,936.50 and 2,006.12

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Solution

The fourth proportional to 5,290.58, 7,936.50 and 2,006.12 is: 3,009.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.58 : 7,936.50 = 2,006.12 : x
  2. Step 2: Convert to fraction form
    5,290.58/7,936.50 = 2,006.12/x
  3. Step 3: Cross multiply
    5,290.58x = 7,936.50 × 2,006.12
  4. Step 4: Simplify right side
    5,290.58x = 15,921,571.38
  5. Step 5: Solve for x
    x = 15,921,571.38/5,290.58
  6. Step 6: Final answer
    x = 3,009.42

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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.