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Finding the Fourth Proportional to 4,876.62, 7,312.62 and 2,408.56

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Solution

The fourth proportional to 4,876.62, 7,312.62 and 2,408.56 is: 3,611.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.62 : 7,312.62 = 2,408.56 : x
  2. Step 2: Convert to fraction form
    4,876.62/7,312.62 = 2,408.56/x
  3. Step 3: Cross multiply
    4,876.62x = 7,312.62 × 2,408.56
  4. Step 4: Simplify right side
    4,876.62x = 17,612,835.42
  5. Step 5: Solve for x
    x = 17,612,835.42/4,876.62
  6. Step 6: Final answer
    x = 3,611.69

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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.