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Finding the Fourth Proportional to 3,447.64, 5,146.46 and 3,190.67

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Solution

The fourth proportional to 3,447.64, 5,146.46 and 3,190.67 is: 4,762.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.64 : 5,146.46 = 3,190.67 : x
  2. Step 2: Convert to fraction form
    3,447.64/5,146.46 = 3,190.67/x
  3. Step 3: Cross multiply
    3,447.64x = 5,146.46 × 3,190.67
  4. Step 4: Simplify right side
    3,447.64x = 16,420,655.53
  5. Step 5: Solve for x
    x = 16,420,655.53/3,447.64
  6. Step 6: Final answer
    x = 4,762.87

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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.