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Finding the Fourth Proportional to 5,942.43, 8,913 and 1,559.31

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Solution

The fourth proportional to 5,942.43, 8,913 and 1,559.31 is: 2,338.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.43 : 8,913 = 1,559.31 : x
  2. Step 2: Convert to fraction form
    5,942.43/8,913 = 1,559.31/x
  3. Step 3: Cross multiply
    5,942.43x = 8,913 × 1,559.31
  4. Step 4: Simplify right side
    5,942.43x = 13,898,130.03
  5. Step 5: Solve for x
    x = 13,898,130.03/5,942.43
  6. Step 6: Final answer
    x = 2,338.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.