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Finding the Fourth Proportional to 6,039.36, 9,043.50 and 3,576

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Solution

The fourth proportional to 6,039.36, 9,043.50 and 3,576 is: 5,354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,039.36 : 9,043.50 = 3,576 : x
  2. Step 2: Convert to fraction form
    6,039.36/9,043.50 = 3,576/x
  3. Step 3: Cross multiply
    6,039.36x = 9,043.50 × 3,576
  4. Step 4: Simplify right side
    6,039.36x = 32,339,556
  5. Step 5: Solve for x
    x = 32,339,556/6,039.36
  6. Step 6: Final answer
    x = 5,354.80

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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.