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Finding the Fourth Proportional to 5,238.07, 7,858.22 and 1,540.42

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Solution

The fourth proportional to 5,238.07, 7,858.22 and 1,540.42 is: 2,310.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.07 : 7,858.22 = 1,540.42 : x
  2. Step 2: Convert to fraction form
    5,238.07/7,858.22 = 1,540.42/x
  3. Step 3: Cross multiply
    5,238.07x = 7,858.22 × 1,540.42
  4. Step 4: Simplify right side
    5,238.07x = 12,104,931.90
  5. Step 5: Solve for x
    x = 12,104,931.90/5,238.07
  6. Step 6: Final answer
    x = 2,310.95

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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.