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Finding the Fourth Proportional to 3,405.78, 5,107.32 and 1,183.95

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Solution

The fourth proportional to 3,405.78, 5,107.32 and 1,183.95 is: 1,775.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.78 : 5,107.32 = 1,183.95 : x
  2. Step 2: Convert to fraction form
    3,405.78/5,107.32 = 1,183.95/x
  3. Step 3: Cross multiply
    3,405.78x = 5,107.32 × 1,183.95
  4. Step 4: Simplify right side
    3,405.78x = 6,046,811.51
  5. Step 5: Solve for x
    x = 6,046,811.51/3,405.78
  6. Step 6: Final answer
    x = 1,775.46

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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.