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Finding the Fourth Proportional to 4,157.39, 5,761.47 and 4,078.54

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Solution

The fourth proportional to 4,157.39, 5,761.47 and 4,078.54 is: 5,652.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.39 : 5,761.47 = 4,078.54 : x
  2. Step 2: Convert to fraction form
    4,157.39/5,761.47 = 4,078.54/x
  3. Step 3: Cross multiply
    4,157.39x = 5,761.47 × 4,078.54
  4. Step 4: Simplify right side
    4,157.39x = 23,498,385.85
  5. Step 5: Solve for x
    x = 23,498,385.85/4,157.39
  6. Step 6: Final answer
    x = 5,652.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.