Home / 5,976-8,245.08-3,458.16

Finding the Fourth Proportional to 5,976, 8,245.08 and 3,458.16

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Solution

The fourth proportional to 5,976, 8,245.08 and 3,458.16 is: 4,771.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976 : 8,245.08 = 3,458.16 : x
  2. Step 2: Convert to fraction form
    5,976/8,245.08 = 3,458.16/x
  3. Step 3: Cross multiply
    5,976x = 8,245.08 × 3,458.16
  4. Step 4: Simplify right side
    5,976x = 28,512,805.85
  5. Step 5: Solve for x
    x = 28,512,805.85/5,976
  6. Step 6: Final answer
    x = 4,771.22

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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.