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Finding the Fourth Proportional to 3,736, 5,155.68 and 2,080

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Solution

The fourth proportional to 3,736, 5,155.68 and 2,080 is: 2,870.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736 : 5,155.68 = 2,080 : x
  2. Step 2: Convert to fraction form
    3,736/5,155.68 = 2,080/x
  3. Step 3: Cross multiply
    3,736x = 5,155.68 × 2,080
  4. Step 4: Simplify right side
    3,736x = 10,723,814.40
  5. Step 5: Solve for x
    x = 10,723,814.40/3,736
  6. Step 6: Final answer
    x = 2,870.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.