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Finding the Fourth Proportional to 5,057.88, 6,980.48 and 2,962

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Solution

The fourth proportional to 5,057.88, 6,980.48 and 2,962 is: 4,087.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.88 : 6,980.48 = 2,962 : x
  2. Step 2: Convert to fraction form
    5,057.88/6,980.48 = 2,962/x
  3. Step 3: Cross multiply
    5,057.88x = 6,980.48 × 2,962
  4. Step 4: Simplify right side
    5,057.88x = 20,676,181.76
  5. Step 5: Solve for x
    x = 20,676,181.76/5,057.88
  6. Step 6: Final answer
    x = 4,087.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.