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Finding the Fourth Proportional to 3,977.87, 5,967.14 and 1,056.14

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Solution

The fourth proportional to 3,977.87, 5,967.14 and 1,056.14 is: 1,584.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.87 : 5,967.14 = 1,056.14 : x
  2. Step 2: Convert to fraction form
    3,977.87/5,967.14 = 1,056.14/x
  3. Step 3: Cross multiply
    3,977.87x = 5,967.14 × 1,056.14
  4. Step 4: Simplify right side
    3,977.87x = 6,302,100.12
  5. Step 5: Solve for x
    x = 6,302,100.12/3,977.87
  6. Step 6: Final answer
    x = 1,584.29

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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.