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Finding the Fourth Proportional to 5,235.52, 7,851.22 and 2,114.94

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Solution

The fourth proportional to 5,235.52, 7,851.22 and 2,114.94 is: 3,171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.52 : 7,851.22 = 2,114.94 : x
  2. Step 2: Convert to fraction form
    5,235.52/7,851.22 = 2,114.94/x
  3. Step 3: Cross multiply
    5,235.52x = 7,851.22 × 2,114.94
  4. Step 4: Simplify right side
    5,235.52x = 16,604,859.23
  5. Step 5: Solve for x
    x = 16,604,859.23/5,235.52
  6. Step 6: Final answer
    x = 3,171.58

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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.