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Finding the Fourth Proportional to 5,057.97, 6,980.84 and 3,735.49

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Solution

The fourth proportional to 5,057.97, 6,980.84 and 3,735.49 is: 5,155.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.97 : 6,980.84 = 3,735.49 : x
  2. Step 2: Convert to fraction form
    5,057.97/6,980.84 = 3,735.49/x
  3. Step 3: Cross multiply
    5,057.97x = 6,980.84 × 3,735.49
  4. Step 4: Simplify right side
    5,057.97x = 26,076,858.01
  5. Step 5: Solve for x
    x = 26,076,858.01/5,057.97
  6. Step 6: Final answer
    x = 5,155.60

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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.