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Finding the Fourth Proportional to 3,772, 5,658.16 and 1,036

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Solution

The fourth proportional to 3,772, 5,658.16 and 1,036 is: 1,554.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772 : 5,658.16 = 1,036 : x
  2. Step 2: Convert to fraction form
    3,772/5,658.16 = 1,036/x
  3. Step 3: Cross multiply
    3,772x = 5,658.16 × 1,036
  4. Step 4: Simplify right side
    3,772x = 5,861,853.76
  5. Step 5: Solve for x
    x = 5,861,853.76/3,772
  6. Step 6: Final answer
    x = 1,554.04

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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.