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Finding the Fourth Proportional to 5,157.17, 7,736.20 and 1,647.68

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Solution

The fourth proportional to 5,157.17, 7,736.20 and 1,647.68 is: 2,471.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.17 : 7,736.20 = 1,647.68 : x
  2. Step 2: Convert to fraction form
    5,157.17/7,736.20 = 1,647.68/x
  3. Step 3: Cross multiply
    5,157.17x = 7,736.20 × 1,647.68
  4. Step 4: Simplify right side
    5,157.17x = 12,746,739.22
  5. Step 5: Solve for x
    x = 12,746,739.22/5,157.17
  6. Step 6: Final answer
    x = 2,471.65

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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.