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Finding the Fourth Proportional to 5,213.01, 7,819.56 and 1,317.41

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Solution

The fourth proportional to 5,213.01, 7,819.56 and 1,317.41 is: 1,976.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.01 : 7,819.56 = 1,317.41 : x
  2. Step 2: Convert to fraction form
    5,213.01/7,819.56 = 1,317.41/x
  3. Step 3: Cross multiply
    5,213.01x = 7,819.56 × 1,317.41
  4. Step 4: Simplify right side
    5,213.01x = 10,301,566.54
  5. Step 5: Solve for x
    x = 10,301,566.54/5,213.01
  6. Step 6: Final answer
    x = 1,976.13

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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.