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Finding the Fourth Proportional to 6,335.98, 8,741.52 and 4,100.68

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Solution

The fourth proportional to 6,335.98, 8,741.52 and 4,100.68 is: 5,657.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.98 : 8,741.52 = 4,100.68 : x
  2. Step 2: Convert to fraction form
    6,335.98/8,741.52 = 4,100.68/x
  3. Step 3: Cross multiply
    6,335.98x = 8,741.52 × 4,100.68
  4. Step 4: Simplify right side
    6,335.98x = 35,846,176.23
  5. Step 5: Solve for x
    x = 35,846,176.23/6,335.98
  6. Step 6: Final answer
    x = 5,657.56

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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.