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Finding the Fourth Proportional to 5,932.80, 8,189.20 and 4,164.84

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Solution

The fourth proportional to 5,932.80, 8,189.20 and 4,164.84 is: 5,748.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.80 : 8,189.20 = 4,164.84 : x
  2. Step 2: Convert to fraction form
    5,932.80/8,189.20 = 4,164.84/x
  3. Step 3: Cross multiply
    5,932.80x = 8,189.20 × 4,164.84
  4. Step 4: Simplify right side
    5,932.80x = 34,106,666.78
  5. Step 5: Solve for x
    x = 34,106,666.78/5,932.80
  6. Step 6: Final answer
    x = 5,748.84

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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.