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Finding the Fourth Proportional to 6,504.52, 9,739.20 and 3,378

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Solution

The fourth proportional to 6,504.52, 9,739.20 and 3,378 is: 5,057.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.52 : 9,739.20 = 3,378 : x
  2. Step 2: Convert to fraction form
    6,504.52/9,739.20 = 3,378/x
  3. Step 3: Cross multiply
    6,504.52x = 9,739.20 × 3,378
  4. Step 4: Simplify right side
    6,504.52x = 32,899,017.60
  5. Step 5: Solve for x
    x = 32,899,017.60/6,504.52
  6. Step 6: Final answer
    x = 5,057.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.