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Finding the Fourth Proportional to 5,899.86, 8,846.74 and 1,739.34

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Solution

The fourth proportional to 5,899.86, 8,846.74 and 1,739.34 is: 2,608.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.86 : 8,846.74 = 1,739.34 : x
  2. Step 2: Convert to fraction form
    5,899.86/8,846.74 = 1,739.34/x
  3. Step 3: Cross multiply
    5,899.86x = 8,846.74 × 1,739.34
  4. Step 4: Simplify right side
    5,899.86x = 15,387,488.75
  5. Step 5: Solve for x
    x = 15,387,488.75/5,899.86
  6. Step 6: Final answer
    x = 2,608.11

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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.