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Finding the Fourth Proportional to 5,960.22, 8,940.41 and 1,577.64

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Solution

The fourth proportional to 5,960.22, 8,940.41 and 1,577.64 is: 2,366.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960.22 : 8,940.41 = 1,577.64 : x
  2. Step 2: Convert to fraction form
    5,960.22/8,940.41 = 1,577.64/x
  3. Step 3: Cross multiply
    5,960.22x = 8,940.41 × 1,577.64
  4. Step 4: Simplify right side
    5,960.22x = 14,104,779.99
  5. Step 5: Solve for x
    x = 14,104,779.99/5,960.22
  6. Step 6: Final answer
    x = 2,366.49

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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.