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Finding the Fourth Proportional to 4,100.40, 5,661.18 and 3,154.44

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Solution

The fourth proportional to 4,100.40, 5,661.18 and 3,154.44 is: 4,355.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.40 : 5,661.18 = 3,154.44 : x
  2. Step 2: Convert to fraction form
    4,100.40/5,661.18 = 3,154.44/x
  3. Step 3: Cross multiply
    4,100.40x = 5,661.18 × 3,154.44
  4. Step 4: Simplify right side
    4,100.40x = 17,857,852.64
  5. Step 5: Solve for x
    x = 17,857,852.64/4,100.40
  6. Step 6: Final answer
    x = 4,355.15

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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.