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Finding the Fourth Proportional to 3,973.42, 5,957.70 and 1,893.34

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Solution

The fourth proportional to 3,973.42, 5,957.70 and 1,893.34 is: 2,838.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.42 : 5,957.70 = 1,893.34 : x
  2. Step 2: Convert to fraction form
    3,973.42/5,957.70 = 1,893.34/x
  3. Step 3: Cross multiply
    3,973.42x = 5,957.70 × 1,893.34
  4. Step 4: Simplify right side
    3,973.42x = 11,279,951.72
  5. Step 5: Solve for x
    x = 11,279,951.72/3,973.42
  6. Step 6: Final answer
    x = 2,838.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.