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Finding the Fourth Proportional to 3,400.54, 5,101.63 and 1,425.08

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Solution

The fourth proportional to 3,400.54, 5,101.63 and 1,425.08 is: 2,137.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.54 : 5,101.63 = 1,425.08 : x
  2. Step 2: Convert to fraction form
    3,400.54/5,101.63 = 1,425.08/x
  3. Step 3: Cross multiply
    3,400.54x = 5,101.63 × 1,425.08
  4. Step 4: Simplify right side
    3,400.54x = 7,270,201.81
  5. Step 5: Solve for x
    x = 7,270,201.81/3,400.54
  6. Step 6: Final answer
    x = 2,137.96

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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.