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Finding the Fourth Proportional to 5,384.53, 8,076.81 and 1,687.09

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Solution

The fourth proportional to 5,384.53, 8,076.81 and 1,687.09 is: 2,530.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.53 : 8,076.81 = 1,687.09 : x
  2. Step 2: Convert to fraction form
    5,384.53/8,076.81 = 1,687.09/x
  3. Step 3: Cross multiply
    5,384.53x = 8,076.81 × 1,687.09
  4. Step 4: Simplify right side
    5,384.53x = 13,626,283.95
  5. Step 5: Solve for x
    x = 13,626,283.95/5,384.53
  6. Step 6: Final answer
    x = 2,530.63

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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.