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Finding the Fourth Proportional to 3,588.64, 4,951.84 and 2,096.80

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Solution

The fourth proportional to 3,588.64, 4,951.84 and 2,096.80 is: 2,893.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.64 : 4,951.84 = 2,096.80 : x
  2. Step 2: Convert to fraction form
    3,588.64/4,951.84 = 2,096.80/x
  3. Step 3: Cross multiply
    3,588.64x = 4,951.84 × 2,096.80
  4. Step 4: Simplify right side
    3,588.64x = 10,383,018.11
  5. Step 5: Solve for x
    x = 10,383,018.11/3,588.64
  6. Step 6: Final answer
    x = 2,893.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.