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Finding the Fourth Proportional to 5,805.26, 8,709.32 and 1,701.26

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Solution

The fourth proportional to 5,805.26, 8,709.32 and 1,701.26 is: 2,552.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.26 : 8,709.32 = 1,701.26 : x
  2. Step 2: Convert to fraction form
    5,805.26/8,709.32 = 1,701.26/x
  3. Step 3: Cross multiply
    5,805.26x = 8,709.32 × 1,701.26
  4. Step 4: Simplify right side
    5,805.26x = 14,816,817.74
  5. Step 5: Solve for x
    x = 14,816,817.74/5,805.26
  6. Step 6: Final answer
    x = 2,552.31

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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.