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Finding the Fourth Proportional to 3,973.61, 5,960.54 and 1,893.84

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Solution

The fourth proportional to 3,973.61, 5,960.54 and 1,893.84 is: 2,840.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.61 : 5,960.54 = 1,893.84 : x
  2. Step 2: Convert to fraction form
    3,973.61/5,960.54 = 1,893.84/x
  3. Step 3: Cross multiply
    3,973.61x = 5,960.54 × 1,893.84
  4. Step 4: Simplify right side
    3,973.61x = 11,288,309.07
  5. Step 5: Solve for x
    x = 11,288,309.07/3,973.61
  6. Step 6: Final answer
    x = 2,840.82

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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.