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Finding the Fourth Proportional to 5,528.38, 7,629.16 and 3,044.38

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Solution

The fourth proportional to 5,528.38, 7,629.16 and 3,044.38 is: 4,201.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,528.38 : 7,629.16 = 3,044.38 : x
  2. Step 2: Convert to fraction form
    5,528.38/7,629.16 = 3,044.38/x
  3. Step 3: Cross multiply
    5,528.38x = 7,629.16 × 3,044.38
  4. Step 4: Simplify right side
    5,528.38x = 23,226,062.12
  5. Step 5: Solve for x
    x = 23,226,062.12/5,528.38
  6. Step 6: Final answer
    x = 4,201.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.