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Finding the Fourth Proportional to 6,289.68, 8,679.80 and 3,933.20

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Solution

The fourth proportional to 6,289.68, 8,679.80 and 3,933.20 is: 5,427.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.68 : 8,679.80 = 3,933.20 : x
  2. Step 2: Convert to fraction form
    6,289.68/8,679.80 = 3,933.20/x
  3. Step 3: Cross multiply
    6,289.68x = 8,679.80 × 3,933.20
  4. Step 4: Simplify right side
    6,289.68x = 34,139,389.36
  5. Step 5: Solve for x
    x = 34,139,389.36/6,289.68
  6. Step 6: Final answer
    x = 5,427.84

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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.