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Finding the Fourth Proportional to 3,977.50, 5,964.75 and 3,195.58

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Solution

The fourth proportional to 3,977.50, 5,964.75 and 3,195.58 is: 4,792.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.50 : 5,964.75 = 3,195.58 : x
  2. Step 2: Convert to fraction form
    3,977.50/5,964.75 = 3,195.58/x
  3. Step 3: Cross multiply
    3,977.50x = 5,964.75 × 3,195.58
  4. Step 4: Simplify right side
    3,977.50x = 19,060,835.81
  5. Step 5: Solve for x
    x = 19,060,835.81/3,977.50
  6. Step 6: Final answer
    x = 4,792.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.