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Finding the Fourth Proportional to 3,736, 5,606.40 and 1,684

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Solution

The fourth proportional to 3,736, 5,606.40 and 1,684 is: 2,527.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736 : 5,606.40 = 1,684 : x
  2. Step 2: Convert to fraction form
    3,736/5,606.40 = 1,684/x
  3. Step 3: Cross multiply
    3,736x = 5,606.40 × 1,684
  4. Step 4: Simplify right side
    3,736x = 9,441,177.60
  5. Step 5: Solve for x
    x = 9,441,177.60/3,736
  6. Step 6: Final answer
    x = 2,527.08

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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.