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Finding the Fourth Proportional to 3,409.73, 5,117.83 and 1,767.45

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Solution

The fourth proportional to 3,409.73, 5,117.83 and 1,767.45 is: 2,652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.73 : 5,117.83 = 1,767.45 : x
  2. Step 2: Convert to fraction form
    3,409.73/5,117.83 = 1,767.45/x
  3. Step 3: Cross multiply
    3,409.73x = 5,117.83 × 1,767.45
  4. Step 4: Simplify right side
    3,409.73x = 9,045,504.21
  5. Step 5: Solve for x
    x = 9,045,504.21/3,409.73
  6. Step 6: Final answer
    x = 2,652.85

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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.