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Finding the Fourth Proportional to 5,666.86, 8,487.96 and 2,739

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Solution

The fourth proportional to 5,666.86, 8,487.96 and 2,739 is: 4,102.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.86 : 8,487.96 = 2,739 : x
  2. Step 2: Convert to fraction form
    5,666.86/8,487.96 = 2,739/x
  3. Step 3: Cross multiply
    5,666.86x = 8,487.96 × 2,739
  4. Step 4: Simplify right side
    5,666.86x = 23,248,522.44
  5. Step 5: Solve for x
    x = 23,248,522.44/5,666.86
  6. Step 6: Final answer
    x = 4,102.54

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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.