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Finding the Fourth Proportional to 3,559.38, 4,896.30 and 2,894.76

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Solution

The fourth proportional to 3,559.38, 4,896.30 and 2,894.76 is: 3,982.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559.38 : 4,896.30 = 2,894.76 : x
  2. Step 2: Convert to fraction form
    3,559.38/4,896.30 = 2,894.76/x
  3. Step 3: Cross multiply
    3,559.38x = 4,896.30 × 2,894.76
  4. Step 4: Simplify right side
    3,559.38x = 14,173,613.39
  5. Step 5: Solve for x
    x = 14,173,613.39/3,559.38
  6. Step 6: Final answer
    x = 3,982.05

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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.