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Finding the Fourth Proportional to 2,957.75, 4,073.16 and 2,770.15

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Solution

The fourth proportional to 2,957.75, 4,073.16 and 2,770.15 is: 3,814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.75 : 4,073.16 = 2,770.15 : x
  2. Step 2: Convert to fraction form
    2,957.75/4,073.16 = 2,770.15/x
  3. Step 3: Cross multiply
    2,957.75x = 4,073.16 × 2,770.15
  4. Step 4: Simplify right side
    2,957.75x = 11,283,236.88
  5. Step 5: Solve for x
    x = 11,283,236.88/2,957.75
  6. Step 6: Final answer
    x = 3,814.80

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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.