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Finding the Fourth Proportional to 5,577, 8,369.34 and 1,929

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Solution

The fourth proportional to 5,577, 8,369.34 and 1,929 is: 2,894.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577 : 8,369.34 = 1,929 : x
  2. Step 2: Convert to fraction form
    5,577/8,369.34 = 1,929/x
  3. Step 3: Cross multiply
    5,577x = 8,369.34 × 1,929
  4. Step 4: Simplify right side
    5,577x = 16,144,456.86
  5. Step 5: Solve for x
    x = 16,144,456.86/5,577
  6. Step 6: Final answer
    x = 2,894.83

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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.