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Finding the Fourth Proportional to 3,972.90, 5,958.63 and 1,340.16

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Solution

The fourth proportional to 3,972.90, 5,958.63 and 1,340.16 is: 2,010.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.90 : 5,958.63 = 1,340.16 : x
  2. Step 2: Convert to fraction form
    3,972.90/5,958.63 = 1,340.16/x
  3. Step 3: Cross multiply
    3,972.90x = 5,958.63 × 1,340.16
  4. Step 4: Simplify right side
    3,972.90x = 7,985,517.58
  5. Step 5: Solve for x
    x = 7,985,517.58/3,972.90
  6. Step 6: Final answer
    x = 2,010.00

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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.