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Finding the Fourth Proportional to 5,199.94, 7,805.31 and 3,012.94

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Solution

The fourth proportional to 5,199.94, 7,805.31 and 3,012.94 is: 4,522.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.94 : 7,805.31 = 3,012.94 : x
  2. Step 2: Convert to fraction form
    5,199.94/7,805.31 = 3,012.94/x
  3. Step 3: Cross multiply
    5,199.94x = 7,805.31 × 3,012.94
  4. Step 4: Simplify right side
    5,199.94x = 23,516,930.71
  5. Step 5: Solve for x
    x = 23,516,930.71/5,199.94
  6. Step 6: Final answer
    x = 4,522.54

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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.