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Finding the Fourth Proportional to 4,256.71, 6,371.38 and 2,277.38

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Solution

The fourth proportional to 4,256.71, 6,371.38 and 2,277.38 is: 3,408.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256.71 : 6,371.38 = 2,277.38 : x
  2. Step 2: Convert to fraction form
    4,256.71/6,371.38 = 2,277.38/x
  3. Step 3: Cross multiply
    4,256.71x = 6,371.38 × 2,277.38
  4. Step 4: Simplify right side
    4,256.71x = 14,510,053.38
  5. Step 5: Solve for x
    x = 14,510,053.38/4,256.71
  6. Step 6: Final answer
    x = 3,408.75

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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.