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Finding the Fourth Proportional to 5,381.84, 8,072.76 and 1,684.09

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Solution

The fourth proportional to 5,381.84, 8,072.76 and 1,684.09 is: 2,526.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.84 : 8,072.76 = 1,684.09 : x
  2. Step 2: Convert to fraction form
    5,381.84/8,072.76 = 1,684.09/x
  3. Step 3: Cross multiply
    5,381.84x = 8,072.76 × 1,684.09
  4. Step 4: Simplify right side
    5,381.84x = 13,595,270.79
  5. Step 5: Solve for x
    x = 13,595,270.79/5,381.84
  6. Step 6: Final answer
    x = 2,526.14

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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.