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Finding the Fourth Proportional to 3,385.84, 4,672.44 and 1,893.76

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Solution

The fourth proportional to 3,385.84, 4,672.44 and 1,893.76 is: 2,613.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.84 : 4,672.44 = 1,893.76 : x
  2. Step 2: Convert to fraction form
    3,385.84/4,672.44 = 1,893.76/x
  3. Step 3: Cross multiply
    3,385.84x = 4,672.44 × 1,893.76
  4. Step 4: Simplify right side
    3,385.84x = 8,848,479.97
  5. Step 5: Solve for x
    x = 8,848,479.97/3,385.84
  6. Step 6: Final answer
    x = 2,613.38

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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.