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Finding the Fourth Proportional to 6,512.56, 8,991.80 and 4,157.90

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Solution

The fourth proportional to 6,512.56, 8,991.80 and 4,157.90 is: 5,740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.56 : 8,991.80 = 4,157.90 : x
  2. Step 2: Convert to fraction form
    6,512.56/8,991.80 = 4,157.90/x
  3. Step 3: Cross multiply
    6,512.56x = 8,991.80 × 4,157.90
  4. Step 4: Simplify right side
    6,512.56x = 37,387,005.22
  5. Step 5: Solve for x
    x = 37,387,005.22/6,512.56
  6. Step 6: Final answer
    x = 5,740.75

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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.