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Finding the Fourth Proportional to 3,428.60, 4,729.02 and 3,314.26

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Solution

The fourth proportional to 3,428.60, 4,729.02 and 3,314.26 is: 4,571.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.60 : 4,729.02 = 3,314.26 : x
  2. Step 2: Convert to fraction form
    3,428.60/4,729.02 = 3,314.26/x
  3. Step 3: Cross multiply
    3,428.60x = 4,729.02 × 3,314.26
  4. Step 4: Simplify right side
    3,428.60x = 15,673,201.83
  5. Step 5: Solve for x
    x = 15,673,201.83/3,428.60
  6. Step 6: Final answer
    x = 4,571.31

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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.