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Finding the Fourth Proportional to 5,264.90, 7,882.96 and 3,411.44

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Solution

The fourth proportional to 5,264.90, 7,882.96 and 3,411.44 is: 5,107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.90 : 7,882.96 = 3,411.44 : x
  2. Step 2: Convert to fraction form
    5,264.90/7,882.96 = 3,411.44/x
  3. Step 3: Cross multiply
    5,264.90x = 7,882.96 × 3,411.44
  4. Step 4: Simplify right side
    5,264.90x = 26,892,245.06
  5. Step 5: Solve for x
    x = 26,892,245.06/5,264.90
  6. Step 6: Final answer
    x = 5,107.84

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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.