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Finding the Fourth Proportional to 6,399.28, 9,599.58 and 1,782.28

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Solution

The fourth proportional to 6,399.28, 9,599.58 and 1,782.28 is: 2,673.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.28 : 9,599.58 = 1,782.28 : x
  2. Step 2: Convert to fraction form
    6,399.28/9,599.58 = 1,782.28/x
  3. Step 3: Cross multiply
    6,399.28x = 9,599.58 × 1,782.28
  4. Step 4: Simplify right side
    6,399.28x = 17,109,139.44
  5. Step 5: Solve for x
    x = 17,109,139.44/6,399.28
  6. Step 6: Final answer
    x = 2,673.60

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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.