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Finding the Fourth Proportional to 5,108.20, 7,663.20 and 1,823.20

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Solution

The fourth proportional to 5,108.20, 7,663.20 and 1,823.20 is: 2,735.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.20 : 7,663.20 = 1,823.20 : x
  2. Step 2: Convert to fraction form
    5,108.20/7,663.20 = 1,823.20/x
  3. Step 3: Cross multiply
    5,108.20x = 7,663.20 × 1,823.20
  4. Step 4: Simplify right side
    5,108.20x = 13,971,546.24
  5. Step 5: Solve for x
    x = 13,971,546.24/5,108.20
  6. Step 6: Final answer
    x = 2,735.12

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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.