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Finding the Fourth Proportional to 3,289.68, 4,929.62 and 3,208.17

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Solution

The fourth proportional to 3,289.68, 4,929.62 and 3,208.17 is: 4,807.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.68 : 4,929.62 = 3,208.17 : x
  2. Step 2: Convert to fraction form
    3,289.68/4,929.62 = 3,208.17/x
  3. Step 3: Cross multiply
    3,289.68x = 4,929.62 × 3,208.17
  4. Step 4: Simplify right side
    3,289.68x = 15,815,059.00
  5. Step 5: Solve for x
    x = 15,815,059.00/3,289.68
  6. Step 6: Final answer
    x = 4,807.48

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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.