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Finding the Fourth Proportional to 5,321.38, 7,342.38 and 3,083.12

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Solution

The fourth proportional to 5,321.38, 7,342.38 and 3,083.12 is: 4,254.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.38 : 7,342.38 = 3,083.12 : x
  2. Step 2: Convert to fraction form
    5,321.38/7,342.38 = 3,083.12/x
  3. Step 3: Cross multiply
    5,321.38x = 7,342.38 × 3,083.12
  4. Step 4: Simplify right side
    5,321.38x = 22,637,429.45
  5. Step 5: Solve for x
    x = 22,637,429.45/5,321.38
  6. Step 6: Final answer
    x = 4,254.05

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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.