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Finding the Fourth Proportional to 3,207.82, 4,812.36 and 1,258.96

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Solution

The fourth proportional to 3,207.82, 4,812.36 and 1,258.96 is: 1,888.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.82 : 4,812.36 = 1,258.96 : x
  2. Step 2: Convert to fraction form
    3,207.82/4,812.36 = 1,258.96/x
  3. Step 3: Cross multiply
    3,207.82x = 4,812.36 × 1,258.96
  4. Step 4: Simplify right side
    3,207.82x = 6,058,568.75
  5. Step 5: Solve for x
    x = 6,058,568.75/3,207.82
  6. Step 6: Final answer
    x = 1,888.69

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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.