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Finding the Fourth Proportional to 3,264.42, 4,513.77 and 3,211.67

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Solution

The fourth proportional to 3,264.42, 4,513.77 and 3,211.67 is: 4,440.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.42 : 4,513.77 = 3,211.67 : x
  2. Step 2: Convert to fraction form
    3,264.42/4,513.77 = 3,211.67/x
  3. Step 3: Cross multiply
    3,264.42x = 4,513.77 × 3,211.67
  4. Step 4: Simplify right side
    3,264.42x = 14,496,723.64
  5. Step 5: Solve for x
    x = 14,496,723.64/3,264.42
  6. Step 6: Final answer
    x = 4,440.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.