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Finding the Fourth Proportional to 3,909.95, 5,858.76 and 1,441.37

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Solution

The fourth proportional to 3,909.95, 5,858.76 and 1,441.37 is: 2,159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.95 : 5,858.76 = 1,441.37 : x
  2. Step 2: Convert to fraction form
    3,909.95/5,858.76 = 1,441.37/x
  3. Step 3: Cross multiply
    3,909.95x = 5,858.76 × 1,441.37
  4. Step 4: Simplify right side
    3,909.95x = 8,444,640.90
  5. Step 5: Solve for x
    x = 8,444,640.90/3,909.95
  6. Step 6: Final answer
    x = 2,159.78

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