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Finding the Fourth Proportional to 3,723.73, 5,584.98 and 1,258.49

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Solution

The fourth proportional to 3,723.73, 5,584.98 and 1,258.49 is: 1,887.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.73 : 5,584.98 = 1,258.49 : x
  2. Step 2: Convert to fraction form
    3,723.73/5,584.98 = 1,258.49/x
  3. Step 3: Cross multiply
    3,723.73x = 5,584.98 × 1,258.49
  4. Step 4: Simplify right side
    3,723.73x = 7,028,635.19
  5. Step 5: Solve for x
    x = 7,028,635.19/3,723.73
  6. Step 6: Final answer
    x = 1,887.53

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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.