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Finding the Fourth Proportional to 3,447.94, 5,137.67 and 3,280.57

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Solution

The fourth proportional to 3,447.94, 5,137.67 and 3,280.57 is: 4,888.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.94 : 5,137.67 = 3,280.57 : x
  2. Step 2: Convert to fraction form
    3,447.94/5,137.67 = 3,280.57/x
  3. Step 3: Cross multiply
    3,447.94x = 5,137.67 × 3,280.57
  4. Step 4: Simplify right side
    3,447.94x = 16,854,491.88
  5. Step 5: Solve for x
    x = 16,854,491.88/3,447.94
  6. Step 6: Final answer
    x = 4,888.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.