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Finding the Fourth Proportional to 5,384.34, 8,072.61 and 1,684.56

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Solution

The fourth proportional to 5,384.34, 8,072.61 and 1,684.56 is: 2,525.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.34 : 8,072.61 = 1,684.56 : x
  2. Step 2: Convert to fraction form
    5,384.34/8,072.61 = 1,684.56/x
  3. Step 3: Cross multiply
    5,384.34x = 8,072.61 × 1,684.56
  4. Step 4: Simplify right side
    5,384.34x = 13,598,795.90
  5. Step 5: Solve for x
    x = 13,598,795.90/5,384.34
  6. Step 6: Final answer
    x = 2,525.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.