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Finding the Fourth Proportional to 5,754.68, 7,942.59 and 3,740.58

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Solution

The fourth proportional to 5,754.68, 7,942.59 and 3,740.58 is: 5,162.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.68 : 7,942.59 = 3,740.58 : x
  2. Step 2: Convert to fraction form
    5,754.68/7,942.59 = 3,740.58/x
  3. Step 3: Cross multiply
    5,754.68x = 7,942.59 × 3,740.58
  4. Step 4: Simplify right side
    5,754.68x = 29,709,893.30
  5. Step 5: Solve for x
    x = 29,709,893.30/5,754.68
  6. Step 6: Final answer
    x = 5,162.74

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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.