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Finding the Fourth Proportional to 3,805.95, 5,707.83 and 1,465.77

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Solution

The fourth proportional to 3,805.95, 5,707.83 and 1,465.77 is: 2,198.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.95 : 5,707.83 = 1,465.77 : x
  2. Step 2: Convert to fraction form
    3,805.95/5,707.83 = 1,465.77/x
  3. Step 3: Cross multiply
    3,805.95x = 5,707.83 × 1,465.77
  4. Step 4: Simplify right side
    3,805.95x = 8,366,365.98
  5. Step 5: Solve for x
    x = 8,366,365.98/3,805.95
  6. Step 6: Final answer
    x = 2,198.23

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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.