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Finding the Fourth Proportional to 5,282.30, 7,917.06 and 2,942.18

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Solution

The fourth proportional to 5,282.30, 7,917.06 and 2,942.18 is: 4,409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282.30 : 7,917.06 = 2,942.18 : x
  2. Step 2: Convert to fraction form
    5,282.30/7,917.06 = 2,942.18/x
  3. Step 3: Cross multiply
    5,282.30x = 7,917.06 × 2,942.18
  4. Step 4: Simplify right side
    5,282.30x = 23,293,415.59
  5. Step 5: Solve for x
    x = 23,293,415.59/5,282.30
  6. Step 6: Final answer
    x = 4,409.71

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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.