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Finding the Fourth Proportional to 4,816.28, 6,646.14 and 2,720

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Solution

The fourth proportional to 4,816.28, 6,646.14 and 2,720 is: 3,753.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,816.28 : 6,646.14 = 2,720 : x
  2. Step 2: Convert to fraction form
    4,816.28/6,646.14 = 2,720/x
  3. Step 3: Cross multiply
    4,816.28x = 6,646.14 × 2,720
  4. Step 4: Simplify right side
    4,816.28x = 18,077,500.80
  5. Step 5: Solve for x
    x = 18,077,500.80/4,816.28
  6. Step 6: Final answer
    x = 3,753.42

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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.