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Finding the Fourth Proportional to 3,867.90, 5,805.64 and 2,020.48

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Solution

The fourth proportional to 3,867.90, 5,805.64 and 2,020.48 is: 3,032.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.90 : 5,805.64 = 2,020.48 : x
  2. Step 2: Convert to fraction form
    3,867.90/5,805.64 = 2,020.48/x
  3. Step 3: Cross multiply
    3,867.90x = 5,805.64 × 2,020.48
  4. Step 4: Simplify right side
    3,867.90x = 11,730,179.51
  5. Step 5: Solve for x
    x = 11,730,179.51/3,867.90
  6. Step 6: Final answer
    x = 3,032.70

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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.