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Finding the Fourth Proportional to 3,756, 5,634.24 and 1,020

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Solution

The fourth proportional to 3,756, 5,634.24 and 1,020 is: 1,530.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756 : 5,634.24 = 1,020 : x
  2. Step 2: Convert to fraction form
    3,756/5,634.24 = 1,020/x
  3. Step 3: Cross multiply
    3,756x = 5,634.24 × 1,020
  4. Step 4: Simplify right side
    3,756x = 5,746,924.80
  5. Step 5: Solve for x
    x = 5,746,924.80/3,756
  6. Step 6: Final answer
    x = 1,530.07

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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.