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Finding the Fourth Proportional to 5,685.58, 8,546.60 and 5,393.98

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Solution

The fourth proportional to 5,685.58, 8,546.60 and 5,393.98 is: 8,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.58 : 8,546.60 = 5,393.98 : x
  2. Step 2: Convert to fraction form
    5,685.58/8,546.60 = 5,393.98/x
  3. Step 3: Cross multiply
    5,685.58x = 8,546.60 × 5,393.98
  4. Step 4: Simplify right side
    5,685.58x = 46,100,189.47
  5. Step 5: Solve for x
    x = 46,100,189.47/5,685.58
  6. Step 6: Final answer
    x = 8,108.27

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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.