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Finding the Fourth Proportional to 6,064.72, 8,369.24 and 3,412

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Solution

The fourth proportional to 6,064.72, 8,369.24 and 3,412 is: 4,708.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,064.72 : 8,369.24 = 3,412 : x
  2. Step 2: Convert to fraction form
    6,064.72/8,369.24 = 3,412/x
  3. Step 3: Cross multiply
    6,064.72x = 8,369.24 × 3,412
  4. Step 4: Simplify right side
    6,064.72x = 28,555,846.88
  5. Step 5: Solve for x
    x = 28,555,846.88/6,064.72
  6. Step 6: Final answer
    x = 4,708.52

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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.