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Finding the Fourth Proportional to 5,346.96, 8,014.92 and 2,569.44

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Solution

The fourth proportional to 5,346.96, 8,014.92 and 2,569.44 is: 3,851.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.96 : 8,014.92 = 2,569.44 : x
  2. Step 2: Convert to fraction form
    5,346.96/8,014.92 = 2,569.44/x
  3. Step 3: Cross multiply
    5,346.96x = 8,014.92 × 2,569.44
  4. Step 4: Simplify right side
    5,346.96x = 20,593,856.04
  5. Step 5: Solve for x
    x = 20,593,856.04/5,346.96
  6. Step 6: Final answer
    x = 3,851.51

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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.