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Finding the Fourth Proportional to 3,810.86, 5,716.66 and 1,178.26

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Solution

The fourth proportional to 3,810.86, 5,716.66 and 1,178.26 is: 1,767.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.86 : 5,716.66 = 1,178.26 : x
  2. Step 2: Convert to fraction form
    3,810.86/5,716.66 = 1,178.26/x
  3. Step 3: Cross multiply
    3,810.86x = 5,716.66 × 1,178.26
  4. Step 4: Simplify right side
    3,810.86x = 6,735,694.57
  5. Step 5: Solve for x
    x = 6,735,694.57/3,810.86
  6. Step 6: Final answer
    x = 1,767.50

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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.