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Finding the Fourth Proportional to 5,766.89, 7,958.33 and 3,497.48

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Solution

The fourth proportional to 5,766.89, 7,958.33 and 3,497.48 is: 4,826.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.89 : 7,958.33 = 3,497.48 : x
  2. Step 2: Convert to fraction form
    5,766.89/7,958.33 = 3,497.48/x
  3. Step 3: Cross multiply
    5,766.89x = 7,958.33 × 3,497.48
  4. Step 4: Simplify right side
    5,766.89x = 27,834,068.96
  5. Step 5: Solve for x
    x = 27,834,068.96/5,766.89
  6. Step 6: Final answer
    x = 4,826.53

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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.