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Finding the Fourth Proportional to 4,091.38, 5,651.24 and 3,559.20

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Solution

The fourth proportional to 4,091.38, 5,651.24 and 3,559.20 is: 4,916.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091.38 : 5,651.24 = 3,559.20 : x
  2. Step 2: Convert to fraction form
    4,091.38/5,651.24 = 3,559.20/x
  3. Step 3: Cross multiply
    4,091.38x = 5,651.24 × 3,559.20
  4. Step 4: Simplify right side
    4,091.38x = 20,113,893.41
  5. Step 5: Solve for x
    x = 20,113,893.41/4,091.38
  6. Step 6: Final answer
    x = 4,916.16

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Why These Related Problems?

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