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Finding the Fourth Proportional to 5,224.71, 7,209.43 and 2,986.74

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Solution

The fourth proportional to 5,224.71, 7,209.43 and 2,986.74 is: 4,121.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.71 : 7,209.43 = 2,986.74 : x
  2. Step 2: Convert to fraction form
    5,224.71/7,209.43 = 2,986.74/x
  3. Step 3: Cross multiply
    5,224.71x = 7,209.43 × 2,986.74
  4. Step 4: Simplify right side
    5,224.71x = 21,532,685.49
  5. Step 5: Solve for x
    x = 21,532,685.49/5,224.71
  6. Step 6: Final answer
    x = 4,121.31

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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.