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Finding the Fourth Proportional to 5,264.21, 7,264.41 and 3,167.93

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Solution

The fourth proportional to 5,264.21, 7,264.41 and 3,167.93 is: 4,371.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.21 : 7,264.41 = 3,167.93 : x
  2. Step 2: Convert to fraction form
    5,264.21/7,264.41 = 3,167.93/x
  3. Step 3: Cross multiply
    5,264.21x = 7,264.41 × 3,167.93
  4. Step 4: Simplify right side
    5,264.21x = 23,013,142.37
  5. Step 5: Solve for x
    x = 23,013,142.37/5,264.21
  6. Step 6: Final answer
    x = 4,371.62

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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.