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Finding the Fourth Proportional to 3,407.58, 5,112.41 and 1,216.49

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Solution

The fourth proportional to 3,407.58, 5,112.41 and 1,216.49 is: 1,825.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.58 : 5,112.41 = 1,216.49 : x
  2. Step 2: Convert to fraction form
    3,407.58/5,112.41 = 1,216.49/x
  3. Step 3: Cross multiply
    3,407.58x = 5,112.41 × 1,216.49
  4. Step 4: Simplify right side
    3,407.58x = 6,219,164.00
  5. Step 5: Solve for x
    x = 6,219,164.00/3,407.58
  6. Step 6: Final answer
    x = 1,825.10

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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.