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Finding the Fourth Proportional to 5,638.30, 8,455.65 and 1,939.64

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Solution

The fourth proportional to 5,638.30, 8,455.65 and 1,939.64 is: 2,908.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.30 : 8,455.65 = 1,939.64 : x
  2. Step 2: Convert to fraction form
    5,638.30/8,455.65 = 1,939.64/x
  3. Step 3: Cross multiply
    5,638.30x = 8,455.65 × 1,939.64
  4. Step 4: Simplify right side
    5,638.30x = 16,400,916.97
  5. Step 5: Solve for x
    x = 16,400,916.97/5,638.30
  6. Step 6: Final answer
    x = 2,908.84

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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.