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Finding the Fourth Proportional to 5,789.54, 7,989.56 and 3,271.66

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Solution

The fourth proportional to 5,789.54, 7,989.56 and 3,271.66 is: 4,514.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.54 : 7,989.56 = 3,271.66 : x
  2. Step 2: Convert to fraction form
    5,789.54/7,989.56 = 3,271.66/x
  3. Step 3: Cross multiply
    5,789.54x = 7,989.56 × 3,271.66
  4. Step 4: Simplify right side
    5,789.54x = 26,139,123.87
  5. Step 5: Solve for x
    x = 26,139,123.87/5,789.54
  6. Step 6: Final answer
    x = 4,514.89

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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.