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Finding the Fourth Proportional to 4,114.04, 5,676.02 and 2,519.01

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Solution

The fourth proportional to 4,114.04, 5,676.02 and 2,519.01 is: 3,475.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.04 : 5,676.02 = 2,519.01 : x
  2. Step 2: Convert to fraction form
    4,114.04/5,676.02 = 2,519.01/x
  3. Step 3: Cross multiply
    4,114.04x = 5,676.02 × 2,519.01
  4. Step 4: Simplify right side
    4,114.04x = 14,297,938.55
  5. Step 5: Solve for x
    x = 14,297,938.55/4,114.04
  6. Step 6: Final answer
    x = 3,475.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.