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Finding the Fourth Proportional to 3,424.41, 5,133.42 and 1,862.10

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Solution

The fourth proportional to 3,424.41, 5,133.42 and 1,862.10 is: 2,791.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.41 : 5,133.42 = 1,862.10 : x
  2. Step 2: Convert to fraction form
    3,424.41/5,133.42 = 1,862.10/x
  3. Step 3: Cross multiply
    3,424.41x = 5,133.42 × 1,862.10
  4. Step 4: Simplify right side
    3,424.41x = 9,558,932.07
  5. Step 5: Solve for x
    x = 9,558,932.07/3,424.41
  6. Step 6: Final answer
    x = 2,791.41

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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.