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Finding the Fourth Proportional to 5,546.84, 8,321.16 and 2,588.24

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Solution

The fourth proportional to 5,546.84, 8,321.16 and 2,588.24 is: 3,882.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.84 : 8,321.16 = 2,588.24 : x
  2. Step 2: Convert to fraction form
    5,546.84/8,321.16 = 2,588.24/x
  3. Step 3: Cross multiply
    5,546.84x = 8,321.16 × 2,588.24
  4. Step 4: Simplify right side
    5,546.84x = 21,537,159.16
  5. Step 5: Solve for x
    x = 21,537,159.16/5,546.84
  6. Step 6: Final answer
    x = 3,882.78

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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.