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Finding the Fourth Proportional to 3,977.98, 5,967.02 and 1,056.26

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Solution

The fourth proportional to 3,977.98, 5,967.02 and 1,056.26 is: 1,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.98 : 5,967.02 = 1,056.26 : x
  2. Step 2: Convert to fraction form
    3,977.98/5,967.02 = 1,056.26/x
  3. Step 3: Cross multiply
    3,977.98x = 5,967.02 × 1,056.26
  4. Step 4: Simplify right side
    3,977.98x = 6,302,742.10
  5. Step 5: Solve for x
    x = 6,302,742.10/3,977.98
  6. Step 6: Final answer
    x = 1,584.41

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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.