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Finding the Fourth Proportional to 3,765.52, 5,616.50 and 3,650.32

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Solution

The fourth proportional to 3,765.52, 5,616.50 and 3,650.32 is: 5,444.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.52 : 5,616.50 = 3,650.32 : x
  2. Step 2: Convert to fraction form
    3,765.52/5,616.50 = 3,650.32/x
  3. Step 3: Cross multiply
    3,765.52x = 5,616.50 × 3,650.32
  4. Step 4: Simplify right side
    3,765.52x = 20,502,022.28
  5. Step 5: Solve for x
    x = 20,502,022.28/3,765.52
  6. Step 6: Final answer
    x = 5,444.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.