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Finding the Fourth Proportional to 3,499.20, 4,829.28 and 2,007.28

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Solution

The fourth proportional to 3,499.20, 4,829.28 and 2,007.28 is: 2,770.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.20 : 4,829.28 = 2,007.28 : x
  2. Step 2: Convert to fraction form
    3,499.20/4,829.28 = 2,007.28/x
  3. Step 3: Cross multiply
    3,499.20x = 4,829.28 × 2,007.28
  4. Step 4: Simplify right side
    3,499.20x = 9,693,717.16
  5. Step 5: Solve for x
    x = 9,693,717.16/3,499.20
  6. Step 6: Final answer
    x = 2,770.27

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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.