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Finding the Fourth Proportional to 6,292.96, 8,684.38 and 3,460.46

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Solution

The fourth proportional to 6,292.96, 8,684.38 and 3,460.46 is: 4,775.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.96 : 8,684.38 = 3,460.46 : x
  2. Step 2: Convert to fraction form
    6,292.96/8,684.38 = 3,460.46/x
  3. Step 3: Cross multiply
    6,292.96x = 8,684.38 × 3,460.46
  4. Step 4: Simplify right side
    6,292.96x = 30,051,910.52
  5. Step 5: Solve for x
    x = 30,051,910.52/6,292.96
  6. Step 6: Final answer
    x = 4,775.48

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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.