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Finding the Fourth Proportional to 6,285.83, 8,674.46 and 3,453.43

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Solution

The fourth proportional to 6,285.83, 8,674.46 and 3,453.43 is: 4,765.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.83 : 8,674.46 = 3,453.43 : x
  2. Step 2: Convert to fraction form
    6,285.83/8,674.46 = 3,453.43/x
  3. Step 3: Cross multiply
    6,285.83x = 8,674.46 × 3,453.43
  4. Step 4: Simplify right side
    6,285.83x = 29,956,627.35
  5. Step 5: Solve for x
    x = 29,956,627.35/6,285.83
  6. Step 6: Final answer
    x = 4,765.74

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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.