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Finding the Fourth Proportional to 6,292.82, 8,684.52 and 4,164.68

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Solution

The fourth proportional to 6,292.82, 8,684.52 and 4,164.68 is: 5,747.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.82 : 8,684.52 = 4,164.68 : x
  2. Step 2: Convert to fraction form
    6,292.82/8,684.52 = 4,164.68/x
  3. Step 3: Cross multiply
    6,292.82x = 8,684.52 × 4,164.68
  4. Step 4: Simplify right side
    6,292.82x = 36,168,246.75
  5. Step 5: Solve for x
    x = 36,168,246.75/6,292.82
  6. Step 6: Final answer
    x = 5,747.54

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