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Finding the Fourth Proportional to 5,658.93, 7,809.82 and 3,301.83

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Solution

The fourth proportional to 5,658.93, 7,809.82 and 3,301.83 is: 4,556.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.93 : 7,809.82 = 3,301.83 : x
  2. Step 2: Convert to fraction form
    5,658.93/7,809.82 = 3,301.83/x
  3. Step 3: Cross multiply
    5,658.93x = 7,809.82 × 3,301.83
  4. Step 4: Simplify right side
    5,658.93x = 25,786,689.72
  5. Step 5: Solve for x
    x = 25,786,689.72/5,658.93
  6. Step 6: Final answer
    x = 4,556.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.