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Finding the Fourth Proportional to 5,657.34, 8,485.92 and 1,761.96

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Solution

The fourth proportional to 5,657.34, 8,485.92 and 1,761.96 is: 2,642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.34 : 8,485.92 = 1,761.96 : x
  2. Step 2: Convert to fraction form
    5,657.34/8,485.92 = 1,761.96/x
  3. Step 3: Cross multiply
    5,657.34x = 8,485.92 × 1,761.96
  4. Step 4: Simplify right side
    5,657.34x = 14,951,851.60
  5. Step 5: Solve for x
    x = 14,951,851.60/5,657.34
  6. Step 6: Final answer
    x = 2,642.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.