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Finding the Fourth Proportional to 3,100.40, 4,661.40 and 2,625.20

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Solution

The fourth proportional to 3,100.40, 4,661.40 and 2,625.20 is: 3,946.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.40 : 4,661.40 = 2,625.20 : x
  2. Step 2: Convert to fraction form
    3,100.40/4,661.40 = 2,625.20/x
  3. Step 3: Cross multiply
    3,100.40x = 4,661.40 × 2,625.20
  4. Step 4: Simplify right side
    3,100.40x = 12,237,107.28
  5. Step 5: Solve for x
    x = 12,237,107.28/3,100.40
  6. Step 6: Final answer
    x = 3,946.94

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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.