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Finding the Fourth Proportional to 3,406.63, 5,109.38 and 940.88

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Solution

The fourth proportional to 3,406.63, 5,109.38 and 940.88 is: 1,411.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.63 : 5,109.38 = 940.88 : x
  2. Step 2: Convert to fraction form
    3,406.63/5,109.38 = 940.88/x
  3. Step 3: Cross multiply
    3,406.63x = 5,109.38 × 940.88
  4. Step 4: Simplify right side
    3,406.63x = 4,807,321.52
  5. Step 5: Solve for x
    x = 4,807,321.52/3,406.63
  6. Step 6: Final answer
    x = 1,411.17

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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.