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Finding the Fourth Proportional to 6,354.65, 8,769.94 and 3,522.31

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Solution

The fourth proportional to 6,354.65, 8,769.94 and 3,522.31 is: 4,861.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.65 : 8,769.94 = 3,522.31 : x
  2. Step 2: Convert to fraction form
    6,354.65/8,769.94 = 3,522.31/x
  3. Step 3: Cross multiply
    6,354.65x = 8,769.94 × 3,522.31
  4. Step 4: Simplify right side
    6,354.65x = 30,890,416.63
  5. Step 5: Solve for x
    x = 30,890,416.63/6,354.65
  6. Step 6: Final answer
    x = 4,861.07

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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.