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Finding the Fourth Proportional to 5,858.25, 8,084.46 and 3,374.25

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Solution

The fourth proportional to 5,858.25, 8,084.46 and 3,374.25 is: 4,656.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,858.25 : 8,084.46 = 3,374.25 : x
  2. Step 2: Convert to fraction form
    5,858.25/8,084.46 = 3,374.25/x
  3. Step 3: Cross multiply
    5,858.25x = 8,084.46 × 3,374.25
  4. Step 4: Simplify right side
    5,858.25x = 27,278,989.16
  5. Step 5: Solve for x
    x = 27,278,989.16/5,858.25
  6. Step 6: Final answer
    x = 4,656.51

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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.