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Finding the Fourth Proportional to 5,512.71, 8,271.51 and 2,232.21

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Solution

The fourth proportional to 5,512.71, 8,271.51 and 2,232.21 is: 3,349.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,512.71 : 8,271.51 = 2,232.21 : x
  2. Step 2: Convert to fraction form
    5,512.71/8,271.51 = 2,232.21/x
  3. Step 3: Cross multiply
    5,512.71x = 8,271.51 × 2,232.21
  4. Step 4: Simplify right side
    5,512.71x = 18,463,747.34
  5. Step 5: Solve for x
    x = 18,463,747.34/5,512.71
  6. Step 6: Final answer
    x = 3,349.31

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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.