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Finding the Fourth Proportional to 5,348.82, 7,381.40 and 2,958.96

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Solution

The fourth proportional to 5,348.82, 7,381.40 and 2,958.96 is: 4,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348.82 : 7,381.40 = 2,958.96 : x
  2. Step 2: Convert to fraction form
    5,348.82/7,381.40 = 2,958.96/x
  3. Step 3: Cross multiply
    5,348.82x = 7,381.40 × 2,958.96
  4. Step 4: Simplify right side
    5,348.82x = 21,841,267.34
  5. Step 5: Solve for x
    x = 21,841,267.34/5,348.82
  6. Step 6: Final answer
    x = 4,083.38

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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.