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Finding the Fourth Proportional to 3,405.34, 5,107.38 and 939.63

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Solution

The fourth proportional to 3,405.34, 5,107.38 and 939.63 is: 1,409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.34 : 5,107.38 = 939.63 : x
  2. Step 2: Convert to fraction form
    3,405.34/5,107.38 = 939.63/x
  3. Step 3: Cross multiply
    3,405.34x = 5,107.38 × 939.63
  4. Step 4: Simplify right side
    3,405.34x = 4,799,047.47
  5. Step 5: Solve for x
    x = 4,799,047.47/3,405.34
  6. Step 6: Final answer
    x = 1,409.27

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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.