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Finding the Fourth Proportional to 3,385.94, 4,672.61 and 1,893.76

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Solution

The fourth proportional to 3,385.94, 4,672.61 and 1,893.76 is: 2,613.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.94 : 4,672.61 = 1,893.76 : x
  2. Step 2: Convert to fraction form
    3,385.94/4,672.61 = 1,893.76/x
  3. Step 3: Cross multiply
    3,385.94x = 4,672.61 × 1,893.76
  4. Step 4: Simplify right side
    3,385.94x = 8,848,787.78
  5. Step 5: Solve for x
    x = 8,848,787.78/3,385.94
  6. Step 6: Final answer
    x = 2,613.39

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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.