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Finding the Fourth Proportional to 3,770.54, 5,200.17 and 2,426.36

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Solution

The fourth proportional to 3,770.54, 5,200.17 and 2,426.36 is: 3,346.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.54 : 5,200.17 = 2,426.36 : x
  2. Step 2: Convert to fraction form
    3,770.54/5,200.17 = 2,426.36/x
  3. Step 3: Cross multiply
    3,770.54x = 5,200.17 × 2,426.36
  4. Step 4: Simplify right side
    3,770.54x = 12,617,484.48
  5. Step 5: Solve for x
    x = 12,617,484.48/3,770.54
  6. Step 6: Final answer
    x = 3,346.33

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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.