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Finding the Fourth Proportional to 4,937.68, 7,408.14 and 2,342.44

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Solution

The fourth proportional to 4,937.68, 7,408.14 and 2,342.44 is: 3,514.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.68 : 7,408.14 = 2,342.44 : x
  2. Step 2: Convert to fraction form
    4,937.68/7,408.14 = 2,342.44/x
  3. Step 3: Cross multiply
    4,937.68x = 7,408.14 × 2,342.44
  4. Step 4: Simplify right side
    4,937.68x = 17,353,123.46
  5. Step 5: Solve for x
    x = 17,353,123.46/4,937.68
  6. Step 6: Final answer
    x = 3,514.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.