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Finding the Fourth Proportional to 5,371.09, 7,412.40 and 3,013.57

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Solution

The fourth proportional to 5,371.09, 7,412.40 and 3,013.57 is: 4,158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,371.09 : 7,412.40 = 3,013.57 : x
  2. Step 2: Convert to fraction form
    5,371.09/7,412.40 = 3,013.57/x
  3. Step 3: Cross multiply
    5,371.09x = 7,412.40 × 3,013.57
  4. Step 4: Simplify right side
    5,371.09x = 22,337,786.27
  5. Step 5: Solve for x
    x = 22,337,786.27/5,371.09
  6. Step 6: Final answer
    x = 4,158.89

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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.