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Finding the Fourth Proportional to 5,782.96, 8,674.96 and 2,495.36

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Solution

The fourth proportional to 5,782.96, 8,674.96 and 2,495.36 is: 3,743.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.96 : 8,674.96 = 2,495.36 : x
  2. Step 2: Convert to fraction form
    5,782.96/8,674.96 = 2,495.36/x
  3. Step 3: Cross multiply
    5,782.96x = 8,674.96 × 2,495.36
  4. Step 4: Simplify right side
    5,782.96x = 21,647,148.19
  5. Step 5: Solve for x
    x = 21,647,148.19/5,782.96
  6. Step 6: Final answer
    x = 3,743.26

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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.