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Finding the Fourth Proportional to 4,147.28, 6,219 and 1,373.44

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Solution

The fourth proportional to 4,147.28, 6,219 and 1,373.44 is: 2,059.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.28 : 6,219 = 1,373.44 : x
  2. Step 2: Convert to fraction form
    4,147.28/6,219 = 1,373.44/x
  3. Step 3: Cross multiply
    4,147.28x = 6,219 × 1,373.44
  4. Step 4: Simplify right side
    4,147.28x = 8,541,423.36
  5. Step 5: Solve for x
    x = 8,541,423.36/4,147.28
  6. Step 6: Final answer
    x = 2,059.52

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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.