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Finding the Fourth Proportional to 4,219.71, 5,825.02 and 3,954.06

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Solution

The fourth proportional to 4,219.71, 5,825.02 and 3,954.06 is: 5,458.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.71 : 5,825.02 = 3,954.06 : x
  2. Step 2: Convert to fraction form
    4,219.71/5,825.02 = 3,954.06/x
  3. Step 3: Cross multiply
    4,219.71x = 5,825.02 × 3,954.06
  4. Step 4: Simplify right side
    4,219.71x = 23,032,468.87
  5. Step 5: Solve for x
    x = 23,032,468.87/4,219.71
  6. Step 6: Final answer
    x = 5,458.30

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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.