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Finding the Fourth Proportional to 3,765.04, 5,647.56 and 1,456

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Solution

The fourth proportional to 3,765.04, 5,647.56 and 1,456 is: 2,184

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.04 : 5,647.56 = 1,456 : x
  2. Step 2: Convert to fraction form
    3,765.04/5,647.56 = 1,456/x
  3. Step 3: Cross multiply
    3,765.04x = 5,647.56 × 1,456
  4. Step 4: Simplify right side
    3,765.04x = 8,222,847.36
  5. Step 5: Solve for x
    x = 8,222,847.36/3,765.04
  6. Step 6: Final answer
    x = 2,184

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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.