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Finding the Fourth Proportional to 5,266.42, 7,896.93 and 3,079.42

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Solution

The fourth proportional to 5,266.42, 7,896.93 and 3,079.42 is: 4,617.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.42 : 7,896.93 = 3,079.42 : x
  2. Step 2: Convert to fraction form
    5,266.42/7,896.93 = 3,079.42/x
  3. Step 3: Cross multiply
    5,266.42x = 7,896.93 × 3,079.42
  4. Step 4: Simplify right side
    5,266.42x = 24,317,964.18
  5. Step 5: Solve for x
    x = 24,317,964.18/5,266.42
  6. Step 6: Final answer
    x = 4,617.55

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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.