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Finding the Fourth Proportional to 3,825.41, 5,735.95 and 1,602.41

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Solution

The fourth proportional to 3,825.41, 5,735.95 and 1,602.41 is: 2,402.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.41 : 5,735.95 = 1,602.41 : x
  2. Step 2: Convert to fraction form
    3,825.41/5,735.95 = 1,602.41/x
  3. Step 3: Cross multiply
    3,825.41x = 5,735.95 × 1,602.41
  4. Step 4: Simplify right side
    3,825.41x = 9,191,310.95
  5. Step 5: Solve for x
    x = 9,191,310.95/3,825.41
  6. Step 6: Final answer
    x = 2,402.70

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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.