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Finding the Fourth Proportional to 5,401.92, 8,102.88 and 1,297.92

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Solution

The fourth proportional to 5,401.92, 8,102.88 and 1,297.92 is: 1,946.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,401.92 : 8,102.88 = 1,297.92 : x
  2. Step 2: Convert to fraction form
    5,401.92/8,102.88 = 1,297.92/x
  3. Step 3: Cross multiply
    5,401.92x = 8,102.88 × 1,297.92
  4. Step 4: Simplify right side
    5,401.92x = 10,516,890.01
  5. Step 5: Solve for x
    x = 10,516,890.01/5,401.92
  6. Step 6: Final answer
    x = 1,946.88

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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.