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Finding the Fourth Proportional to 6,059.49, 9,080.95 and 4,577.50

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Solution

The fourth proportional to 6,059.49, 9,080.95 and 4,577.50 is: 6,859.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059.49 : 9,080.95 = 4,577.50 : x
  2. Step 2: Convert to fraction form
    6,059.49/9,080.95 = 4,577.50/x
  3. Step 3: Cross multiply
    6,059.49x = 9,080.95 × 4,577.50
  4. Step 4: Simplify right side
    6,059.49x = 41,568,020.78
  5. Step 5: Solve for x
    x = 41,568,020.78/6,059.49
  6. Step 6: Final answer
    x = 6,859.99

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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.