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Finding the Fourth Proportional to 3,461.64, 4,771.38 and 2,675.40

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Solution

The fourth proportional to 3,461.64, 4,771.38 and 2,675.40 is: 3,687.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.64 : 4,771.38 = 2,675.40 : x
  2. Step 2: Convert to fraction form
    3,461.64/4,771.38 = 2,675.40/x
  3. Step 3: Cross multiply
    3,461.64x = 4,771.38 × 2,675.40
  4. Step 4: Simplify right side
    3,461.64x = 12,765,350.05
  5. Step 5: Solve for x
    x = 12,765,350.05/3,461.64
  6. Step 6: Final answer
    x = 3,687.66

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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.