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Finding the Fourth Proportional to 3,817.29, 5,266.29 and 2,400.48

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Solution

The fourth proportional to 3,817.29, 5,266.29 and 2,400.48 is: 3,311.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.29 : 5,266.29 = 2,400.48 : x
  2. Step 2: Convert to fraction form
    3,817.29/5,266.29 = 2,400.48/x
  3. Step 3: Cross multiply
    3,817.29x = 5,266.29 × 2,400.48
  4. Step 4: Simplify right side
    3,817.29x = 12,641,623.82
  5. Step 5: Solve for x
    x = 12,641,623.82/3,817.29
  6. Step 6: Final answer
    x = 3,311.67

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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.