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Finding the Fourth Proportional to 6,044.96, 9,048 and 5,396.96

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Solution

The fourth proportional to 6,044.96, 9,048 and 5,396.96 is: 8,078.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,044.96 : 9,048 = 5,396.96 : x
  2. Step 2: Convert to fraction form
    6,044.96/9,048 = 5,396.96/x
  3. Step 3: Cross multiply
    6,044.96x = 9,048 × 5,396.96
  4. Step 4: Simplify right side
    6,044.96x = 48,831,694.08
  5. Step 5: Solve for x
    x = 48,831,694.08/6,044.96
  6. Step 6: Final answer
    x = 8,078.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.