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Finding the Fourth Proportional to 5,239.40, 7,230.38 and 2,881.55

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Solution

The fourth proportional to 5,239.40, 7,230.38 and 2,881.55 is: 3,976.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.40 : 7,230.38 = 2,881.55 : x
  2. Step 2: Convert to fraction form
    5,239.40/7,230.38 = 2,881.55/x
  3. Step 3: Cross multiply
    5,239.40x = 7,230.38 × 2,881.55
  4. Step 4: Simplify right side
    5,239.40x = 20,834,701.49
  5. Step 5: Solve for x
    x = 20,834,701.49/5,239.40
  6. Step 6: Final answer
    x = 3,976.54

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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.