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Finding the Fourth Proportional to 5,506.43, 8,273.97 and 5,146.49

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Solution

The fourth proportional to 5,506.43, 8,273.97 and 5,146.49 is: 7,733.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.43 : 8,273.97 = 5,146.49 : x
  2. Step 2: Convert to fraction form
    5,506.43/8,273.97 = 5,146.49/x
  3. Step 3: Cross multiply
    5,506.43x = 8,273.97 × 5,146.49
  4. Step 4: Simplify right side
    5,506.43x = 42,581,862.50
  5. Step 5: Solve for x
    x = 42,581,862.50/5,506.43
  6. Step 6: Final answer
    x = 7,733.12

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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.