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Finding the Fourth Proportional to 5,371.06, 7,412.68 and 5,198.83

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Solution

The fourth proportional to 5,371.06, 7,412.68 and 5,198.83 is: 7,174.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,371.06 : 7,412.68 = 5,198.83 : x
  2. Step 2: Convert to fraction form
    5,371.06/7,412.68 = 5,198.83/x
  3. Step 3: Cross multiply
    5,371.06x = 7,412.68 × 5,198.83
  4. Step 4: Simplify right side
    5,371.06x = 38,537,270.89
  5. Step 5: Solve for x
    x = 38,537,270.89/5,371.06
  6. Step 6: Final answer
    x = 7,174.99

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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.