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Finding the Fourth Proportional to 3,808.74, 5,713.71 and 1,617.48

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Solution

The fourth proportional to 3,808.74, 5,713.71 and 1,617.48 is: 2,426.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.74 : 5,713.71 = 1,617.48 : x
  2. Step 2: Convert to fraction form
    3,808.74/5,713.71 = 1,617.48/x
  3. Step 3: Cross multiply
    3,808.74x = 5,713.71 × 1,617.48
  4. Step 4: Simplify right side
    3,808.74x = 9,241,811.65
  5. Step 5: Solve for x
    x = 9,241,811.65/3,808.74
  6. Step 6: Final answer
    x = 2,426.47

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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.