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Finding the Fourth Proportional to 4,519.56, 6,775.02 and 2,871

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Solution

The fourth proportional to 4,519.56, 6,775.02 and 2,871 is: 4,303.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,519.56 : 6,775.02 = 2,871 : x
  2. Step 2: Convert to fraction form
    4,519.56/6,775.02 = 2,871/x
  3. Step 3: Cross multiply
    4,519.56x = 6,775.02 × 2,871
  4. Step 4: Simplify right side
    4,519.56x = 19,451,082.42
  5. Step 5: Solve for x
    x = 19,451,082.42/4,519.56
  6. Step 6: Final answer
    x = 4,303.76

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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.