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Finding the Fourth Proportional to 3,410.93, 5,109.71 and 1,768.57

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Solution

The fourth proportional to 3,410.93, 5,109.71 and 1,768.57 is: 2,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.93 : 5,109.71 = 1,768.57 : x
  2. Step 2: Convert to fraction form
    3,410.93/5,109.71 = 1,768.57/x
  3. Step 3: Cross multiply
    3,410.93x = 5,109.71 × 1,768.57
  4. Step 4: Simplify right side
    3,410.93x = 9,036,858.20
  5. Step 5: Solve for x
    x = 9,036,858.20/3,410.93
  6. Step 6: Final answer
    x = 2,649.38

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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.