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Finding the Fourth Proportional to 3,310.38, 4,567.86 and 3,074.94

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Solution

The fourth proportional to 3,310.38, 4,567.86 and 3,074.94 is: 4,242.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.38 : 4,567.86 = 3,074.94 : x
  2. Step 2: Convert to fraction form
    3,310.38/4,567.86 = 3,074.94/x
  3. Step 3: Cross multiply
    3,310.38x = 4,567.86 × 3,074.94
  4. Step 4: Simplify right side
    3,310.38x = 14,045,895.43
  5. Step 5: Solve for x
    x = 14,045,895.43/3,310.38
  6. Step 6: Final answer
    x = 4,242.99

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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.