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Finding the Fourth Proportional to 3,409.14, 4,704.78 and 1,917.53

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Solution

The fourth proportional to 3,409.14, 4,704.78 and 1,917.53 is: 2,646.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.14 : 4,704.78 = 1,917.53 : x
  2. Step 2: Convert to fraction form
    3,409.14/4,704.78 = 1,917.53/x
  3. Step 3: Cross multiply
    3,409.14x = 4,704.78 × 1,917.53
  4. Step 4: Simplify right side
    3,409.14x = 9,021,556.79
  5. Step 5: Solve for x
    x = 9,021,556.79/3,409.14
  6. Step 6: Final answer
    x = 2,646.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.