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Finding the Fourth Proportional to 3,777.44, 5,662.64 and 3,466

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Solution

The fourth proportional to 3,777.44, 5,662.64 and 3,466 is: 5,195.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.44 : 5,662.64 = 3,466 : x
  2. Step 2: Convert to fraction form
    3,777.44/5,662.64 = 3,466/x
  3. Step 3: Cross multiply
    3,777.44x = 5,662.64 × 3,466
  4. Step 4: Simplify right side
    3,777.44x = 19,626,710.24
  5. Step 5: Solve for x
    x = 19,626,710.24/3,777.44
  6. Step 6: Final answer
    x = 5,195.77

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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.