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Finding the Fourth Proportional to 3,832.16, 5,748.08 and 1,096.16

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Solution

The fourth proportional to 3,832.16, 5,748.08 and 1,096.16 is: 1,644.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.16 : 5,748.08 = 1,096.16 : x
  2. Step 2: Convert to fraction form
    3,832.16/5,748.08 = 1,096.16/x
  3. Step 3: Cross multiply
    3,832.16x = 5,748.08 × 1,096.16
  4. Step 4: Simplify right side
    3,832.16x = 6,300,815.37
  5. Step 5: Solve for x
    x = 6,300,815.37/3,832.16
  6. Step 6: Final answer
    x = 1,644.19

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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.