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Finding the Fourth Proportional to 5,408.01, 7,465.01 and 3,419.91

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Solution

The fourth proportional to 5,408.01, 7,465.01 and 3,419.91 is: 4,720.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.01 : 7,465.01 = 3,419.91 : x
  2. Step 2: Convert to fraction form
    5,408.01/7,465.01 = 3,419.91/x
  3. Step 3: Cross multiply
    5,408.01x = 7,465.01 × 3,419.91
  4. Step 4: Simplify right side
    5,408.01x = 25,529,645.25
  5. Step 5: Solve for x
    x = 25,529,645.25/5,408.01
  6. Step 6: Final answer
    x = 4,720.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.