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Finding the Fourth Proportional to 3,907.42, 5,855.97 and 2,342.38

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Solution

The fourth proportional to 3,907.42, 5,855.97 and 2,342.38 is: 3,510.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.42 : 5,855.97 = 2,342.38 : x
  2. Step 2: Convert to fraction form
    3,907.42/5,855.97 = 2,342.38/x
  3. Step 3: Cross multiply
    3,907.42x = 5,855.97 × 2,342.38
  4. Step 4: Simplify right side
    3,907.42x = 13,716,907.01
  5. Step 5: Solve for x
    x = 13,716,907.01/3,907.42
  6. Step 6: Final answer
    x = 3,510.48

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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.