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Finding the Fourth Proportional to 5,293.86, 7,940.95 and 1,962.94

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Solution

The fourth proportional to 5,293.86, 7,940.95 and 1,962.94 is: 2,944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.86 : 7,940.95 = 1,962.94 : x
  2. Step 2: Convert to fraction form
    5,293.86/7,940.95 = 1,962.94/x
  3. Step 3: Cross multiply
    5,293.86x = 7,940.95 × 1,962.94
  4. Step 4: Simplify right side
    5,293.86x = 15,587,590.94
  5. Step 5: Solve for x
    x = 15,587,590.94/5,293.86
  6. Step 6: Final answer
    x = 2,944.47

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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.