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Finding the Fourth Proportional to 3,765.72, 5,648.76 and 1,168.32

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Solution

The fourth proportional to 3,765.72, 5,648.76 and 1,168.32 is: 1,752.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.72 : 5,648.76 = 1,168.32 : x
  2. Step 2: Convert to fraction form
    3,765.72/5,648.76 = 1,168.32/x
  3. Step 3: Cross multiply
    3,765.72x = 5,648.76 × 1,168.32
  4. Step 4: Simplify right side
    3,765.72x = 6,599,559.28
  5. Step 5: Solve for x
    x = 6,599,559.28/3,765.72
  6. Step 6: Final answer
    x = 1,752.54

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1.5x scale

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.