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Finding the Fourth Proportional to 5,559.96, 7,672.65 and 3,042

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Solution

The fourth proportional to 5,559.96, 7,672.65 and 3,042 is: 4,197.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,559.96 : 7,672.65 = 3,042 : x
  2. Step 2: Convert to fraction form
    5,559.96/7,672.65 = 3,042/x
  3. Step 3: Cross multiply
    5,559.96x = 7,672.65 × 3,042
  4. Step 4: Simplify right side
    5,559.96x = 23,340,201.30
  5. Step 5: Solve for x
    x = 23,340,201.30/5,559.96
  6. Step 6: Final answer
    x = 4,197.91

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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.