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Finding the Fourth Proportional to 6,080, 8,390.32 and 3,427.44

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Solution

The fourth proportional to 6,080, 8,390.32 and 3,427.44 is: 4,729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,080 : 8,390.32 = 3,427.44 : x
  2. Step 2: Convert to fraction form
    6,080/8,390.32 = 3,427.44/x
  3. Step 3: Cross multiply
    6,080x = 8,390.32 × 3,427.44
  4. Step 4: Simplify right side
    6,080x = 28,757,318.38
  5. Step 5: Solve for x
    x = 28,757,318.38/6,080
  6. Step 6: Final answer
    x = 4,729.82

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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.