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Finding the Fourth Proportional to 4,262.80, 5,882.56 and 2,399.80

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Solution

The fourth proportional to 4,262.80, 5,882.56 and 2,399.80 is: 3,311.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,262.80 : 5,882.56 = 2,399.80 : x
  2. Step 2: Convert to fraction form
    4,262.80/5,882.56 = 2,399.80/x
  3. Step 3: Cross multiply
    4,262.80x = 5,882.56 × 2,399.80
  4. Step 4: Simplify right side
    4,262.80x = 14,116,967.49
  5. Step 5: Solve for x
    x = 14,116,967.49/4,262.80
  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.