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Finding the Fourth Proportional to 5,381.54, 8,073.96 and 1,684.16

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Solution

The fourth proportional to 5,381.54, 8,073.96 and 1,684.16 is: 2,526.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.54 : 8,073.96 = 1,684.16 : x
  2. Step 2: Convert to fraction form
    5,381.54/8,073.96 = 1,684.16/x
  3. Step 3: Cross multiply
    5,381.54x = 8,073.96 × 1,684.16
  4. Step 4: Simplify right side
    5,381.54x = 13,597,840.47
  5. Step 5: Solve for x
    x = 13,597,840.47/5,381.54
  6. Step 6: Final answer
    x = 2,526.76

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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.