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Finding the Fourth Proportional to 5,984.82, 8,971.10 and 2,700.22

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Solution

The fourth proportional to 5,984.82, 8,971.10 and 2,700.22 is: 4,047.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.82 : 8,971.10 = 2,700.22 : x
  2. Step 2: Convert to fraction form
    5,984.82/8,971.10 = 2,700.22/x
  3. Step 3: Cross multiply
    5,984.82x = 8,971.10 × 2,700.22
  4. Step 4: Simplify right side
    5,984.82x = 24,223,930.14
  5. Step 5: Solve for x
    x = 24,223,930.14/5,984.82
  6. Step 6: Final answer
    x = 4,047.57

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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.