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Finding the Fourth Proportional to 6,491.94, 9,739.12 and 3,029.19

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Solution

The fourth proportional to 6,491.94, 9,739.12 and 3,029.19 is: 4,544.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.94 : 9,739.12 = 3,029.19 : x
  2. Step 2: Convert to fraction form
    6,491.94/9,739.12 = 3,029.19/x
  3. Step 3: Cross multiply
    6,491.94x = 9,739.12 × 3,029.19
  4. Step 4: Simplify right side
    6,491.94x = 29,501,644.91
  5. Step 5: Solve for x
    x = 29,501,644.91/6,491.94
  6. Step 6: Final answer
    x = 4,544.35

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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.