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Finding the Fourth Proportional to 3,962.70, 5,935.14 and 2,917.80

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Solution

The fourth proportional to 3,962.70, 5,935.14 and 2,917.80 is: 4,370.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.70 : 5,935.14 = 2,917.80 : x
  2. Step 2: Convert to fraction form
    3,962.70/5,935.14 = 2,917.80/x
  3. Step 3: Cross multiply
    3,962.70x = 5,935.14 × 2,917.80
  4. Step 4: Simplify right side
    3,962.70x = 17,317,551.49
  5. Step 5: Solve for x
    x = 17,317,551.49/3,962.70
  6. Step 6: Final answer
    x = 4,370.14

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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.