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Finding the Fourth Proportional to 3,425.94, 5,135.76 and 1,234.13

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Solution

The fourth proportional to 3,425.94, 5,135.76 and 1,234.13 is: 1,850.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.94 : 5,135.76 = 1,234.13 : x
  2. Step 2: Convert to fraction form
    3,425.94/5,135.76 = 1,234.13/x
  3. Step 3: Cross multiply
    3,425.94x = 5,135.76 × 1,234.13
  4. Step 4: Simplify right side
    3,425.94x = 6,338,169.81
  5. Step 5: Solve for x
    x = 6,338,169.81/3,425.94
  6. Step 6: Final answer
    x = 1,850.05

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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.