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Finding the Fourth Proportional to 6,292.36, 8,680.96 and 3,774.52

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Solution

The fourth proportional to 6,292.36, 8,680.96 and 3,774.52 is: 5,207.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.36 : 8,680.96 = 3,774.52 : x
  2. Step 2: Convert to fraction form
    6,292.36/8,680.96 = 3,774.52/x
  3. Step 3: Cross multiply
    6,292.36x = 8,680.96 × 3,774.52
  4. Step 4: Simplify right side
    6,292.36x = 32,766,457.14
  5. Step 5: Solve for x
    x = 32,766,457.14/6,292.36
  6. Step 6: Final answer
    x = 5,207.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.