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Finding the Fourth Proportional to 5,260.68, 7,892.64 and 2,662.74

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Solution

The fourth proportional to 5,260.68, 7,892.64 and 2,662.74 is: 3,994.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.68 : 7,892.64 = 2,662.74 : x
  2. Step 2: Convert to fraction form
    5,260.68/7,892.64 = 2,662.74/x
  3. Step 3: Cross multiply
    5,260.68x = 7,892.64 × 2,662.74
  4. Step 4: Simplify right side
    5,260.68x = 21,016,048.23
  5. Step 5: Solve for x
    x = 21,016,048.23/5,260.68
  6. Step 6: Final answer
    x = 3,994.93

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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.