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Finding the Fourth Proportional to 5,295.85, 7,942.10 and 1,918.21

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Solution

The fourth proportional to 5,295.85, 7,942.10 and 1,918.21 is: 2,876.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.85 : 7,942.10 = 1,918.21 : x
  2. Step 2: Convert to fraction form
    5,295.85/7,942.10 = 1,918.21/x
  3. Step 3: Cross multiply
    5,295.85x = 7,942.10 × 1,918.21
  4. Step 4: Simplify right side
    5,295.85x = 15,234,615.64
  5. Step 5: Solve for x
    x = 15,234,615.64/5,295.85
  6. Step 6: Final answer
    x = 2,876.71

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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.