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Finding the Fourth Proportional to 5,657.78, 8,475.64 and 3,704.06

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Solution

The fourth proportional to 5,657.78, 8,475.64 and 3,704.06 is: 5,548.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.78 : 8,475.64 = 3,704.06 : x
  2. Step 2: Convert to fraction form
    5,657.78/8,475.64 = 3,704.06/x
  3. Step 3: Cross multiply
    5,657.78x = 8,475.64 × 3,704.06
  4. Step 4: Simplify right side
    5,657.78x = 31,394,291.03
  5. Step 5: Solve for x
    x = 31,394,291.03/5,657.78
  6. Step 6: Final answer
    x = 5,548.87

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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.