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Finding the Fourth Proportional to 5,652.38, 8,478.57 and 3,704.13

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Solution

The fourth proportional to 5,652.38, 8,478.57 and 3,704.13 is: 5,556.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.38 : 8,478.57 = 3,704.13 : x
  2. Step 2: Convert to fraction form
    5,652.38/8,478.57 = 3,704.13/x
  3. Step 3: Cross multiply
    5,652.38x = 8,478.57 × 3,704.13
  4. Step 4: Simplify right side
    5,652.38x = 31,405,739.38
  5. Step 5: Solve for x
    x = 31,405,739.38/5,652.38
  6. Step 6: Final answer
    x = 5,556.20

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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.