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Finding the Fourth Proportional to 4,256.81, 6,385.20 and 1,295.27

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Solution

The fourth proportional to 4,256.81, 6,385.20 and 1,295.27 is: 1,942.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256.81 : 6,385.20 = 1,295.27 : x
  2. Step 2: Convert to fraction form
    4,256.81/6,385.20 = 1,295.27/x
  3. Step 3: Cross multiply
    4,256.81x = 6,385.20 × 1,295.27
  4. Step 4: Simplify right side
    4,256.81x = 8,270,526.08
  5. Step 5: Solve for x
    x = 8,270,526.08/4,256.81
  6. Step 6: Final answer
    x = 1,942.90

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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.