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Finding the Fourth Proportional to 5,967.94, 8,952 and 2,072.48

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Solution

The fourth proportional to 5,967.94, 8,952 and 2,072.48 is: 3,108.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.94 : 8,952 = 2,072.48 : x
  2. Step 2: Convert to fraction form
    5,967.94/8,952 = 2,072.48/x
  3. Step 3: Cross multiply
    5,967.94x = 8,952 × 2,072.48
  4. Step 4: Simplify right side
    5,967.94x = 18,552,840.96
  5. Step 5: Solve for x
    x = 18,552,840.96/5,967.94
  6. Step 6: Final answer
    x = 3,108.75

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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.