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Finding the Fourth Proportional to 5,486.69, 7,571.63 and 2,968.80

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Solution

The fourth proportional to 5,486.69, 7,571.63 and 2,968.80 is: 4,096.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.69 : 7,571.63 = 2,968.80 : x
  2. Step 2: Convert to fraction form
    5,486.69/7,571.63 = 2,968.80/x
  3. Step 3: Cross multiply
    5,486.69x = 7,571.63 × 2,968.80
  4. Step 4: Simplify right side
    5,486.69x = 22,478,655.14
  5. Step 5: Solve for x
    x = 22,478,655.14/5,486.69
  6. Step 6: Final answer
    x = 4,096.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.