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Finding the Fourth Proportional to 6,889.72, 10,339.44 and 3,964

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Solution

The fourth proportional to 6,889.72, 10,339.44 and 3,964 is: 5,948.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.72 : 10,339.44 = 3,964 : x
  2. Step 2: Convert to fraction form
    6,889.72/10,339.44 = 3,964/x
  3. Step 3: Cross multiply
    6,889.72x = 10,339.44 × 3,964
  4. Step 4: Simplify right side
    6,889.72x = 40,985,540.16
  5. Step 5: Solve for x
    x = 40,985,540.16/6,889.72
  6. Step 6: Final answer
    x = 5,948.80

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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.