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Finding the Fourth Proportional to 5,231.97, 7,849.16 and 1,534.48

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Solution

The fourth proportional to 5,231.97, 7,849.16 and 1,534.48 is: 2,302.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.97 : 7,849.16 = 1,534.48 : x
  2. Step 2: Convert to fraction form
    5,231.97/7,849.16 = 1,534.48/x
  3. Step 3: Cross multiply
    5,231.97x = 7,849.16 × 1,534.48
  4. Step 4: Simplify right side
    5,231.97x = 12,044,379.04
  5. Step 5: Solve for x
    x = 12,044,379.04/5,231.97
  6. Step 6: Final answer
    x = 2,302.07

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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.