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Finding the Fourth Proportional to 3,901.94, 5,850.88 and 1,927.66

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Solution

The fourth proportional to 3,901.94, 5,850.88 and 1,927.66 is: 2,890.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.94 : 5,850.88 = 1,927.66 : x
  2. Step 2: Convert to fraction form
    3,901.94/5,850.88 = 1,927.66/x
  3. Step 3: Cross multiply
    3,901.94x = 5,850.88 × 1,927.66
  4. Step 4: Simplify right side
    3,901.94x = 11,278,507.34
  5. Step 5: Solve for x
    x = 11,278,507.34/3,901.94
  6. Step 6: Final answer
    x = 2,890.49

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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.