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Finding the Fourth Proportional to 5,200.13, 7,802.91 and 2,279.13

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Solution

The fourth proportional to 5,200.13, 7,802.91 and 2,279.13 is: 3,419.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.13 : 7,802.91 = 2,279.13 : x
  2. Step 2: Convert to fraction form
    5,200.13/7,802.91 = 2,279.13/x
  3. Step 3: Cross multiply
    5,200.13x = 7,802.91 × 2,279.13
  4. Step 4: Simplify right side
    5,200.13x = 17,783,846.27
  5. Step 5: Solve for x
    x = 17,783,846.27/5,200.13
  6. Step 6: Final answer
    x = 3,419.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.