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Finding the Fourth Proportional to 3,776.39, 5,213.16 and 2,264.67

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Solution

The fourth proportional to 3,776.39, 5,213.16 and 2,264.67 is: 3,126.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.39 : 5,213.16 = 2,264.67 : x
  2. Step 2: Convert to fraction form
    3,776.39/5,213.16 = 2,264.67/x
  3. Step 3: Cross multiply
    3,776.39x = 5,213.16 × 2,264.67
  4. Step 4: Simplify right side
    3,776.39x = 11,806,087.06
  5. Step 5: Solve for x
    x = 11,806,087.06/3,776.39
  6. Step 6: Final answer
    x = 3,126.29

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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.