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Finding the Fourth Proportional to 5,105.60, 7,658.40 and 1,408.22

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Solution

The fourth proportional to 5,105.60, 7,658.40 and 1,408.22 is: 2,112.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.60 : 7,658.40 = 1,408.22 : x
  2. Step 2: Convert to fraction form
    5,105.60/7,658.40 = 1,408.22/x
  3. Step 3: Cross multiply
    5,105.60x = 7,658.40 × 1,408.22
  4. Step 4: Simplify right side
    5,105.60x = 10,784,712.05
  5. Step 5: Solve for x
    x = 10,784,712.05/5,105.60
  6. Step 6: Final answer
    x = 2,112.33

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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.