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Finding the Fourth Proportional to 5,307.67, 7,958.76 and 2,383.48

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Solution

The fourth proportional to 5,307.67, 7,958.76 and 2,383.48 is: 3,573.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.67 : 7,958.76 = 2,383.48 : x
  2. Step 2: Convert to fraction form
    5,307.67/7,958.76 = 2,383.48/x
  3. Step 3: Cross multiply
    5,307.67x = 7,958.76 × 2,383.48
  4. Step 4: Simplify right side
    5,307.67x = 18,969,545.28
  5. Step 5: Solve for x
    x = 18,969,545.28/5,307.67
  6. Step 6: Final answer
    x = 3,573.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.