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Finding the Fourth Proportional to 5,798, 8,698.25 and 1,902.26

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Solution

The fourth proportional to 5,798, 8,698.25 and 1,902.26 is: 2,853.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798 : 8,698.25 = 1,902.26 : x
  2. Step 2: Convert to fraction form
    5,798/8,698.25 = 1,902.26/x
  3. Step 3: Cross multiply
    5,798x = 8,698.25 × 1,902.26
  4. Step 4: Simplify right side
    5,798x = 16,546,333.05
  5. Step 5: Solve for x
    x = 16,546,333.05/5,798
  6. Step 6: Final answer
    x = 2,853.80

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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.