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Finding the Fourth Proportional to 3,607.68, 5,408.82 and 2,434.39

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Solution

The fourth proportional to 3,607.68, 5,408.82 and 2,434.39 is: 3,649.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.68 : 5,408.82 = 2,434.39 : x
  2. Step 2: Convert to fraction form
    3,607.68/5,408.82 = 2,434.39/x
  3. Step 3: Cross multiply
    3,607.68x = 5,408.82 × 2,434.39
  4. Step 4: Simplify right side
    3,607.68x = 13,167,177.32
  5. Step 5: Solve for x
    x = 13,167,177.32/3,607.68
  6. Step 6: Final answer
    x = 3,649.76

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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.