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Finding the Fourth Proportional to 3,972.40, 5,953.56 and 1,781.04

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Solution

The fourth proportional to 3,972.40, 5,953.56 and 1,781.04 is: 2,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.40 : 5,953.56 = 1,781.04 : x
  2. Step 2: Convert to fraction form
    3,972.40/5,953.56 = 1,781.04/x
  3. Step 3: Cross multiply
    3,972.40x = 5,953.56 × 1,781.04
  4. Step 4: Simplify right side
    3,972.40x = 10,603,528.50
  5. Step 5: Solve for x
    x = 10,603,528.50/3,972.40
  6. Step 6: Final answer
    x = 2,669.30

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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.