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Finding the Fourth Proportional to 5,299.68, 7,314.02 and 2,942.28

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Solution

The fourth proportional to 5,299.68, 7,314.02 and 2,942.28 is: 4,060.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.68 : 7,314.02 = 2,942.28 : x
  2. Step 2: Convert to fraction form
    5,299.68/7,314.02 = 2,942.28/x
  3. Step 3: Cross multiply
    5,299.68x = 7,314.02 × 2,942.28
  4. Step 4: Simplify right side
    5,299.68x = 21,519,894.77
  5. Step 5: Solve for x
    x = 21,519,894.77/5,299.68
  6. Step 6: Final answer
    x = 4,060.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.