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Finding the Fourth Proportional to 3,653.96, 5,481.84 and 1,057.16

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Solution

The fourth proportional to 3,653.96, 5,481.84 and 1,057.16 is: 1,586.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.96 : 5,481.84 = 1,057.16 : x
  2. Step 2: Convert to fraction form
    3,653.96/5,481.84 = 1,057.16/x
  3. Step 3: Cross multiply
    3,653.96x = 5,481.84 × 1,057.16
  4. Step 4: Simplify right side
    3,653.96x = 5,795,199.64
  5. Step 5: Solve for x
    x = 5,795,199.64/3,653.96
  6. Step 6: Final answer
    x = 1,586.00

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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.