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Finding the Fourth Proportional to 5,371.31, 7,412.41 and 3,013.50

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Solution

The fourth proportional to 5,371.31, 7,412.41 and 3,013.50 is: 4,158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,371.31 : 7,412.41 = 3,013.50 : x
  2. Step 2: Convert to fraction form
    5,371.31/7,412.41 = 3,013.50/x
  3. Step 3: Cross multiply
    5,371.31x = 7,412.41 × 3,013.50
  4. Step 4: Simplify right side
    5,371.31x = 22,337,329.10
  5. Step 5: Solve for x
    x = 22,337,329.10/5,371.31
  6. Step 6: Final answer
    x = 4,158.64

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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.