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Finding the Fourth Proportional to 3,676.32, 5,510.79 and 1,482.03

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Solution

The fourth proportional to 3,676.32, 5,510.79 and 1,482.03 is: 2,221.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.32 : 5,510.79 = 1,482.03 : x
  2. Step 2: Convert to fraction form
    3,676.32/5,510.79 = 1,482.03/x
  3. Step 3: Cross multiply
    3,676.32x = 5,510.79 × 1,482.03
  4. Step 4: Simplify right side
    3,676.32x = 8,167,156.10
  5. Step 5: Solve for x
    x = 8,167,156.10/3,676.32
  6. Step 6: Final answer
    x = 2,221.56

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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.