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Finding the Fourth Proportional to 3,407.69, 5,112.14 and 1,216.28

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Solution

The fourth proportional to 3,407.69, 5,112.14 and 1,216.28 is: 1,824.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.69 : 5,112.14 = 1,216.28 : x
  2. Step 2: Convert to fraction form
    3,407.69/5,112.14 = 1,216.28/x
  3. Step 3: Cross multiply
    3,407.69x = 5,112.14 × 1,216.28
  4. Step 4: Simplify right side
    3,407.69x = 6,217,762.00
  5. Step 5: Solve for x
    x = 6,217,762.00/3,407.69
  6. Step 6: Final answer
    x = 1,824.63

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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.