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Finding the Fourth Proportional to 5,138.06, 7,083.06 and 3,147.35

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Solution

The fourth proportional to 5,138.06, 7,083.06 and 3,147.35 is: 4,338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.06 : 7,083.06 = 3,147.35 : x
  2. Step 2: Convert to fraction form
    5,138.06/7,083.06 = 3,147.35/x
  3. Step 3: Cross multiply
    5,138.06x = 7,083.06 × 3,147.35
  4. Step 4: Simplify right side
    5,138.06x = 22,292,868.89
  5. Step 5: Solve for x
    x = 22,292,868.89/5,138.06
  6. Step 6: Final answer
    x = 4,338.77

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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.