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Finding the Fourth Proportional to 6,147.38, 8,482.25 and 3,457.82

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Solution

The fourth proportional to 6,147.38, 8,482.25 and 3,457.82 is: 4,771.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.38 : 8,482.25 = 3,457.82 : x
  2. Step 2: Convert to fraction form
    6,147.38/8,482.25 = 3,457.82/x
  3. Step 3: Cross multiply
    6,147.38x = 8,482.25 × 3,457.82
  4. Step 4: Simplify right side
    6,147.38x = 29,330,033.99
  5. Step 5: Solve for x
    x = 29,330,033.99/6,147.38
  6. Step 6: Final answer
    x = 4,771.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.