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Finding the Fourth Proportional to 5,447.69, 8,173.08 and 2,675.16

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Solution

The fourth proportional to 5,447.69, 8,173.08 and 2,675.16 is: 4,013.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447.69 : 8,173.08 = 2,675.16 : x
  2. Step 2: Convert to fraction form
    5,447.69/8,173.08 = 2,675.16/x
  3. Step 3: Cross multiply
    5,447.69x = 8,173.08 × 2,675.16
  4. Step 4: Simplify right side
    5,447.69x = 21,864,242.45
  5. Step 5: Solve for x
    x = 21,864,242.45/5,447.69
  6. Step 6: Final answer
    x = 4,013.49

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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.